Question

13. Two seventh-grade classes are selling raffle

tickets to raise money. One class is selling tickets
for $3.50 each and has already raised $450. The
other class is selling tickets for $4.00 each and has
already raised $375. Write an equation that can be
used to find t, the number of tickets each class
needs to sell so that the total amount raised is the
same for both classes.​

Answer 1

3.50t + 550 = 5.00t + 250

Explanation:

Answer 2

`150\ tickets`

Explanation:

Let

t -----> the number of tickets

y ----> the total amount raised

we know that

The linear equations that represent this situation are

One Class

`y=3.50t+450` -----> equation A

Other Class

`y=4.00t+375` -----> equation B

Solve the system of equations

Equate equation A and equation B and solve for t

`4.00t+375=3.50t+450`

`4.00t-3.50t=450-375`

`0.50t=75`

`t=150\ tickets`