On the first day of ticket sales the school sold 8 senior citizen tickets and 1 child ticket for a total of $97. The school took in $102 on the second day by selling 6 senior citizen tickets and 4 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Answers

Answer 1

Answer:

A senior citizen ticket costs $11, and a child ticket costs $9.

Step-by-step explanation:

Let s = price of 1 senior citizen ticket, and let c = price of 1 child ticket.

First day:

8s + c = 97

Second day:

6s + 4c = 102

We have a system of 2 equations in 2 unknowns.

8s + c = 97

6s + 4c = 102

We will use the addition method to solve the system.

Multiply both sides of the first equation by -4. Write the second equation below it and add the equations.

     -32s - 4c = -388

(+)     6s + 4c = 102

----------------------------

      -26s       = -286

Divide both sides by -26.

s = 11

Now substitute s with 11 in the first original equation and solve for c.

8s + c = 97

8(11) + c = 97

88 + c = 97

Subtract 88 from both sides.

c = 9

Answer: A senior citizen ticket costs $11, and a child ticket costs $9.


Related Questions

In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.
How much sales tax does Yuki pay for her handbag purchase?

Answers

Answer:

$18.15

Step-by-step explanation:

Yuki is paying tax of 4.6% + 3.65% = 8.25%

Converting to decimal form, that is 8.25/100 = 0.0825

Multiply that by the original sale price. 0.0825 x $220 = $18.15 exactly for tax.

The question asks for the tax, NOT for the total she will pay. Please don't get them mixed up.

With word problems, alwasy double check that you are answering what is actually asked.   :)

Pass a brotha some help :(

Answers

Answer and Step-by-step explanation:

Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.

10y - 50 + 6y + 12

Now, combine like terms.

16y - 38

#teamtrees #PAW (Plant and Water)

HELP (ENGLISH)
Amira is preheating her oven before using it to bake. The initial temperature of the oven is 75° and the temperature will increase at a rate of 20° per minute after being turned on. What is the temperature of the oven 9 minutes after being turned on? What is the temperature of the oven tt minutes after being turned on?

Answers

The expression should be 75+20x. For every nine minutes (75+20(9)) the oven temperature should be at 255 degrees.

What is the solution set of –|x| = –8?

{8}
{–8}
{–8, 8}
no solution

Answers

-8 and 8 in my opinion i’m not a 100% sure

Answer:

its c -8,8

Step-by-step explanation:

The perimeter of triangle ABC is 96. Find the value of x. 4x + 1 2x 3x + 2 perimeter of ABC = 96

Answers

Answer:

4.5is answer

Step-by-step explanation:

perimeter of ABC = 96

4x + 1 2x 3x + 2=96

21x=96

x=96/21=4.5

Bobinvested$6500intoamutualfund with 3.5% monthly interest rate. What is the balance in the account after one month?

Answers

Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50

a population of 100,000 decreases by 6% each year. write a graph to explain that

Answers

Answer:

Step-by-step explanation:

Your graph equation is going to be y = 100,000 - .06x

So basically the graph is easy to explain it is 3.45 by T


Please help due tonight

Tom buys 3 burgers and 5 drinks for $34. Jane buys 2 burgers and 6 drinks for $36. How much is each burger and each drink?

Answers

Using algebra
3b+5d=34
2b+6d=36
This is a simultaneous equation
Times top equation by two and bottom by 3
6b+10d=68
6b+18d=108
Subtract bottom equation by top one
-8d=-40
d=5
substitute this into an equation
3b+25=34
-25 from both sides
3b=9
b=3
drink is $5 burger is $3

Tell me what is the equation for equation 1 and 2

Answers

Answer:

2x+3y=12$

3x+2y=19$

Hope it helps

If the density of a piece of wood is 0.85 g/cm3, what is the volume if the mass of 24.99 cm3?

Answers

Answer:

to find volume

Step-by-step explanation:

I think so it is like this 24.99/0.85 =29.4

It took the football team 5 h to travel from Titletown, a total distance of 1320 km. Part of the trip was by bus and the remainder by plane. The bus averaged 40 km/h and the plane 600 km/h. How many hours were spent travelling by bus?

Answers

Answer:

It took 2 hours by plane

Step-by-step explanation:

let bus is represented by x and plane is represented by y

the total distance of bus and plane will be represented by equation:

40 x + 600 y = 1320           (1)

the total time taken by bus and plane will be represented by:

x + y = 5                              (2)

solving equations (1) and (2) simultaneously:

Multiply by 40 on both sides in eq (2)  and then subtract (1) and (2)

40 x + 600 y = 1320

40 x + 40 y = 200

_______________

         560 y = 1120

               y   = 1120/ 56

               y= 2

since plane is represented by y so, the time they spent travelling by plane is 2 hours.

Is my answer right? if not can you please show me the correct answer

Answers

No it is a =9 is correct

Answer: No, is a=9

Step-by-step explanation:

Whatis the answer to the problem

Answers

Answer:

slope = [tex]-\frac{1}{8}[/tex]

Step-by-step explanation:

Use the slope formula given in the question to solve for the slope. The [tex]m[/tex] is the variable representing the slope. The [tex]x_1[/tex] and [tex]y_1[/tex] values are x and y values of one point. The [tex]x_2[/tex] and [tex]y_2[/tex]  are x and y values of another point.

So, use the x and y values of the points given and substitute them in the correct order into the formula:

[tex]m = \frac{(7)-(9)}{(10)-(-6)}\\m = \frac{7-9}{10+6} \\m = \frac{-2}{16} \\m = -\frac{1}{8}[/tex]

Thus, the slope is [tex]-\frac{1}{8}[/tex].

17.) An ostrich can run 174 feet in 3 seconds. What is the slope of the line and what does it
represent?

Answers

The slope of the line is positive. The slope of the line is 58. The ostrich can run 58 feet per second.

This box is 3/4 inch long 1/2 inch wide and 1/4 inch deep what is the volume of the box ?

Answers

Answer:

v = l * w * h

v = 3/4 * 1/2 * 1/4 = 3/32 or 0.09375

Write the equation of the line, in slope-intercept form, with the
following information:
slope: -1
y-intercept: (0, -1)

Answers

Answer:

y = -x -1

Step-by-step explanation:

x1= 0, y1= -1

[tex]slope = \frac{x - x1}{y - y1} = \frac{x - 0}{y - ( - 1)} = \frac{x}{y + 1} [/tex]

-1 = x/(y+1)

-1 (y+1) = x

y+1 = -x

y= -x -1

please answer I have a freaking e in my math class​

Answers

Answer: I would answer but the image is blocked for me- can you type the problem by any chance?

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

Initial value usually means the y value when x=0

in an equilateral triangle the sides are 14sqrt7. find the length of the altitude

Answers

Answer:

1

Step-by-step explanation:

Suppose one batch of cookies requires ⅔ cup of flour. How many batches can be made with 4 cups of flour?

Answers

Answer:

6 batches

Step-by-step explanation:

Answer:

the answer is 8/3  u have to mutplay

Step-by-step explanation:

The soccer club held a spaghetti dinner. They sold 39 child tickets for $3.75 each and 27 adult tickets for $5.95 each. The amount for 11 child tickets was refunded. Estimate the amount of income received by the soccer club.

Answers

Answer:

265.65

Step-by-step explanation:

(3.75*39)+(27*5.95)-(11*3.75) = 265.65

In 42 minutes, Mr. Goo can run 6 miles. How long does it take him to run 1 mile?

Answers

Answer:

7 min

Step-by-step explanation:

Answer:

7 Minutes

Step-by-step explanation:

If you divide 42 by 6, you get 7.

solve for t. -1 (t + 8) = -7.1 brainly

t=___?
(Please hurry!)

Answers

Answer:

.9

Step-by-step explanation:

-1(t+8) = -7.1

PEMDAS

So times the parenthesis by -1

-t - 8 = -7.1

Add the 8 to itself to get rid of it

Then since you added it on the left, add it to the right

-t = .9

t = .9

I need help with this

Answers

A and C is the correct answers

rhoda pays for internet access each month The graph shows the relaionship

Answers

Answer:

more info??

Step By Step:

A cylinder has a radius of 20 meters. It’s volume is 13,816 cubic meters. What is the height of the cylinder

Answers

Answer:

      H ≈ 10.994424 m ≈ 11 m

Step-by-step explanation:

[tex]V=\pi R^2\cdot H\\\\V=13\,816\ m^3\\R=20\,m\\H=??\\\\13\,816=\pi\cdot20^2\cdot H\\\\13\,816=400\pi H\\\\13\,816\approx1256.637 H\\\\H\approx10.994424\,m[/tex]

Expand and simplify 7a + 4(a-2b)
Help please :)

Answers

Answer:

11a - 8b.

Step-by-step explanation:

7a + 4(a-2b)

= 7a + 4a - 8b

= 11a - 8b.

given: x+y=10 if x=-21, what is y?

Answers

Answer: y = 31

Step-by-step explanation: all you need to do is plug in the x

since x = -21 we can put: -21 + y = 10

now we add 21 to both sides giving us: y = 31

Answer:

(-21,22)

Step-by-step explanation:

x+y=10

x=-21

subtitue the x value

-21+y=2

solve for y

y=22

Then write your answer by ordered pair

(-21,22)

The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges

Answers

Answer:

$1.38

Step-by-step explanation:

The grocery store had 4lb bag of oranges for 4.80$ and a 6lb bag for 6.18$ . What is the difference of the 4lb bag of oranges and the 6lb bag of oranges

The cost difference is calculated as:

Cost of 6lbs of oranges - Cost of 4lbs of oranges

Cost of 6lbs of oranges = $6.18

Cost of 4lbs of oranges = $4.80

Hence,

= $6.18 - $4.80

= $1.38

HELPPP PLEASE!!!! HELP

Answers

A1 x=5
2 x=7
3 t=3
B1 x=3
2 x=2
3 z= √6

Determine whether ABCD is a parallelogram if AB = 6, BC = 12, CD = 6, and DA = 12. Justify your answer
A/ Yes; Opposite sides are congruent to each other.
B/ Yes; Opposite sides are parallel to each other.
C/ Yes; Opposite angles are congruent to each other.
D/ No

Answers

A/ yes; opposite sides are congruent to each other.
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