I don’t know how to set up this equation

Question

A company makes two kinds of trading cards. Regular cards are $0.40 each and premium cards that cost $0.65 each. A box of 25 assorted card sells for $14. How many of each card type are included?

Answer 1

Hello Isabella. In order to solve this problem, we should first:

let r represent the number of regular cards in the box

let p represent the number of premium cards in the box

we can now set up our system of equations

r+p=25 (equation for the number of regular and premium cards altogether)

0.40r+0.65p=14.00 (equation for the number and price of the regular and premium cards altogether)

If you have any questions regarding how to solve the system of equations, please do not hesitate to contact me through wyzant.