Last week, Keegan bought 4 shirts and 9
hats for a total of $108.
Today, Keegan bought 17 shirts and 21 hats
for a total of $321.
Assuming neither item has changed in price,
what is the cost of a shirt in dollars?
to write down notes or work through problems

Answers

Answer 1

Answer:  Shirts are $9 each and hats are $8 each

Step-by-step explanation:

Let S be the price of a Shirt, and H the price of a Hat.

First Week:  4S + 9H = $108

Today:         17S + 21H = $321

We have 2 equations and 2 unknowns (S and H).  Rearrange one of the equations to isolate one of the unknowns.  I'll rearrange the first for S:

4S + 9H = $108

4S  = $108 - 9H

S =  ($108 - 9H)/4

S = 27 - 2.25H

Now use this value of S in the second equation:

17S + 21H = $321

17(($27 - 2.25H) + 21H = $321

Solve for H:

459 -38.25H + 21H = $321

-17.25H = - 138

H = $8

Each hat was $8.

Use this value in the first equation to find S:

4S + 9H = $108

4S + 9*($8) = $108

4S + $72 = $108

S = $9

Each shirt was $9.

==

Check to see if the numbers give the correct results:

4*($9) + 9*($8) = $108

17*($9) + 21*($8) = $321

Both yield the correct amounts. Shirts are $9 each and hats are $8 each.


Related Questions

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Answers

Using proportions, it is found that Donald should order 4 of the 0.05 gram tablets.

This question is solved by proportions, using a rule of three.4 tablets are needed, and they should combine for 0.2 grams. How many grams is there going to be on one tablet?

The rule of three is:

1 tablet - x grams

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Applying cross multiplication:

[tex]4x = 0.2[/tex]

[tex]x = \frac{0.2}{4}[/tex]

[tex]x = 0.05[/tex]

Donald should order 4 of the 0.05 gram tablets.

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answer:

Step-by-step explanation:

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Answers

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A man borrowed Rs.8000 for one year at the rate of 15% per annum. Find
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Answers

Answer:

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

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Answer:

10) SAS

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Answers

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Answers

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Answers

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Answers

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Answers

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Answers

Answer:

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Answer:

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Step-by-step explanation:


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Answers

Answer:

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Answers

Answer:

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