Question

You are the senior class president, and you are selling items for a school fundraiser. You have cell phone cases and t-shirts that have the school logo on them for sale. Each case sells for $10, and each t-shirt sells for $5. After selling a total of 48 items, you made a total of $350. How many cases and t-shirts were sold?

13 cases, 35 t-shirts
22 cases, 26 t-shirts
26 cases, 22 t-shirts
35 cases, 13 t-shirts

Answer 1

let c= the amount of Cell phone cases sold.
let t= the amount of T shirts sold.

make a system of equations with the equations

10c+5t= 350
to represent the amount of money earned

c+t=48
to represent the total amount of objects sold.

c=48-t

then substitute

10(48-t)+5t=350
480-10t+5t=350
-5t=-130
t=26

substitute t in:
c+26=48
c= 22

You sold 22 cases and 26 t shirts.