Question

Ice Cold Creamery will give a free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt. Each bucket of ice cream costs $7.28, and each bucket of frozen yogurt costs $8.21. So far, Sarah has bought i buckets of ice cream. Which inequality represents the number of buckets of frozen yogurt, y, that she may buy in addition to get a free ice cream maker?

Answer 1

Given:

Free ice cream maker to anyone who spends at least $100 on buckets of ice cream and frozen yogurt.

Each bucket of ice cream costs $7.28

Each bucket of frozen yogurt costs $8.21.

To find:

The inequality represents number of ice cream and frozen yogurt that she may buy in addition to get a free ice cream maker.

Solution:

Let i be the number of buckets of ice cream and y be the number of buckets of frozen yogurt.

According to the question, total amount spend on both must be greater than or equal to $100 to get a free ice cream maker.

`7.28i+8.21y\geq 100`

`8.21y\geq 100-7.28i`

Divide both sides by 8.21.

`y\geq (100-7.28i)/(8.21)`

Therefore, the required inequality is
`y\geq (100-7.28i)/(8.21)`.