The basketball team and volley ball team are having a competition to see which team can raise the most money for a local charity.

The basketball team is selling raffle tickets for 4.50 each and has already raised $275

The volleyball team is selling raffle tickets $2.50 each and has already raised $500

write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets

Basketball Team: ____________
Volleyball Team: ____________

write an equation that would represent when the basketball team would have more money than the volleyball team.


How many tickets would the basketball team need to sale to have more money than the volleyball team?

Basketball Team Equation: _________

Volleyball Team Equation: _________

Basketball answer:_____
Volleyball answer:_____​

Answers

Answer 1

Answer:

Step-by-step explanation:

write an equation to present total (T) that each team has raised after selling (x) number of raffle tickets

Basketball Team: T(B) = 4.50x(B)

Volleyball Team:  T(V) = 2.50x(V)

The problem staes use x for the number of tickets, but I've noted these numbers as a function of basketball, x(B), and volleyball, x(V).

We know the amounts each team has raised, sio we can calculate the number of tickets:

Basketball

 $275 = $4.50x(B)

x(B) = 61.11  [There can't be 0.11 ticket, so round down to 61 and declay an error in making change]:  61 tickets from the Baseball team

 $500 = $2.50x(V)

x(V) = 200 tickets from the Volleyball team

---

"write an equation that would represent when the basketball team would have more money than the volleyball team."

We want the ratio of T(B) to T(V) to be greater than 1 [the total basketball sales are greater than the total Volleyball sales.]

T(B)/T(V) = ($4.50x(B))/($2.50x(V))

1 <= ($4.50/$2.50)*(x(B)/x(V))

1 <= 1.8(x(B)/x(V))

x(V) <= 1.8*(x(B))

The baseball team needs to sell 1.8 times the number of tickets sold by the baseball team.

----

The basketball team is jealous and wants to know how many more tickets they need to sell to catch up with the volleyballers.

To reach $500:

 $500 = $4.50*x(B)

x(B) = 111.11  (Another rounding problem, but we don't need to worry.  It wants to kniow "how many MORE."

(111.11 - 61.11) = 50 more tickets to reach the same $500 the Volleyball team has collected.


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