Question

Anna is selling boxes of chocolate chip cookies (c) for $6 each and boxes of peanut butter cookies (b) for $7 each. She must

sell at least 30 boxes of cookies and at least $175 worth of cookies. Which system of inequalities models this situation?

Answer 1

`x+y\geq30`

`6c+7b\geq175`

Explanation:

Given : Let c represents the number of boxes of chocolate chip cookies and b represents the boxes for butter cookies.

Anna is selling boxes of chocolate chip cookies (c) for $6 each and boxes of peanut butter cookies (b) for $7 each.

i.e. Cost of 'c' chocolate chip cookies = 6c

Cost of b butter cookies = 7b

She must sell at least 30 boxes of cookies and at least $175 worth of cookies.

i.e.
`x+y\geq30`

`6c+7b\geq175`

Thus , the system of inequalities models this situation :

`x+y\geq30`

`6c+7b\geq175`