Question

Chase works at a frozen yogurt store during the summer. He needs to order 5 oz and 8 oz cups. To get free shipping, he must order at least 10 boxes of cups. A box of 5 oz cups cost $100 and a box of 8 oz cups cost $150. A maximum of $1200 is budgeted for cups. Use x and y as your variables.

Answer 1

Write the equation that represents the number of boxes of cups.

Write the equation that represents the number of each cup.

How do I write this?

Answer 2

X boxes of 5 oz. cups
Y boxes of 8 oz. cups.

Eq1: x + y = 10.
Eq2: 100x + 150y = 1200.
Multiply Eq1 by -100 and add the Eqs:
-100x -100y = -1000
100x + 150y = 1200
sum: 50y = 200
Y = 4.

In Eq1, rreplace Y with 4 and solve for X.