Question

Taia wants to order custom yoga mats for her yoga studio that will be printed with her logo. She asks two local companies, We Print and Print So Good, to give her a price.
We Print will charge $21 per mat plus a one-time set up fee of $25.
Print So Good will charge $18 per mat plus a one-time logo set up fee of $45.

She has a budget of $500 (i.e., that is the maximum that she can spend).

Write an inequality that represents how many mats she can order from We Print. Use "m" for mat.

Write an inequality that represents how many mats she can order from Print So Good. Use "m" for mat.

How many mats can Taia afford from We Print? In other words, what is the maximum number of mats that she can buy? Write the number only. Note: It is not possible to buy a portion of a mat.

How many mats can Taia afford from Print So Good? In other words, what is the maximum number of mats that she can buy? Write the number only. Note: It is not possible to buy a portion of a mat.

Answer 1

Answer:

We print -> 21m + 25 ≤ 500
Print so good -> 18m + 44 ≤ 500

Maximum mats from We Print : the integer part of (500-25)/21 = 22

Maximum mats from Print So Good: the integer part of (500-45)/18 = 25

#Note
We take the integer part of the division because a mat cannot be in portions

Answered by GAUTHMATH