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

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

Mercury · Answer

all the answer choices have t ≤ 40 because the # of tarts must be less than 40. so I'm going to focus on the other inequality which describes the # of apples

if each tart needs 1 apple, then (t) tarts need 1*t apples
same logic with the pies. each pie needs 8 apples ----> (p) pies need 8*p apples

sum these up, and set them less than or equal to 184 apples.

this should lead you towards the correct inequality, and thus the correct answer choices