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

If he makes no more than 40 tarts per day we write:
t≤40

that means that out of total of 184 apples we need to take out those which he uses on tarts.

184-t
and divide them by number of apples required for making 1 apple pie.

(184-t)/8 = p
if we multiply this last one with 8 and switch t on other side we get
8p + t ≤184
because number of apples used for both dishes has to be less 184

Answer is d.