Question

A baker makes apple tarts and apple pies each day. Each tart, t, requires 1 apple, and each pie, p, requires 8 apples. The baker receives a shipment of 184 apples every day. If the baker makes no more than 40 tarts per day, which system of inequalities can be used to find the possible number of pies and tarts the baker can make?

A. t ≤ 40 p ≤ 184

B. t ≤ 40 8p ≤ 184

C. t ≤ 40 p + 8t ≤ 184

D. t ≤ 40 8p + t ≤ 184

Answer 1

My guess is C.........

Answer 2

Option D is correct.

Explanation:

Each tart, t, requires 1 apple, and each pie, p, requires 8 apples.

The baker receives a shipment of 184 apples every day.

`8p+t\leq 184`

The baker makes no more than 40 tarts per day, means he uses no more than 40 apples a day, this can be shown as:

`t\leq 40`

So, the system of inequalities that can be used to find the possible number of pies and tarts the baker can make is:

Option D:
`t\leq 40`

`8p+t\leq 184`