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

For this case, the first thing we must do is define variables.
 We have then:
 t: number of tarts
 p: number of pies
 We now write the system of equations:
 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 ≤ 184
 the baker makes no more than 40 tarts per day:
 t ≤ 40
 Answer:
 A system of inequalities that can be used to find the possible number of pies and tarts the baker can make is:
 D. t ≤ 40
 8p + t ≤ 184

Answer 2

1) t ≤ 40

2) a = t + 8p ⇒ t + 8p ≤ 184 [ because you are limited by the number of apples which is 184]

Answer: option D.