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?
t ≤ 40
p ≤ 184
t ≤ 40
8p ≤ 184
t ≤ 40
p + 8t ≤ 184
t ≤ 40
8p + t ≤ 184

Explanation:

Step1: Analyze tart constraint

The baker makes no more than 40 tarts, so \( t \leq 40 \).

Step2: Analyze apple usage

Each tart (\( t \)) uses 1 apple, each pie (\( p \)) uses 8 apples. Total apples used (\( 8p + t \)) must be ≤ 184 (daily shipment). So \( 8p + t \leq 184 \).

Answer:

\( t \leq 40 \)
\( 8p + t \leq 184 \) (the last option with these two inequalities)