Loading...

#11547

inequalities

money

word problem

medium

90 sec

A bakery sells cakes and pies. The baker can make a total of at most 80 desserts each day. Each cake requires 1.5 cups of sugar, and each pie requires 1 cup of sugar. The baker has 90 cups of sugar available daily. Due to demand, the baker must make at least 20 cakes and at least 30 pies per day. If $c$ is the number of cakes made and $p$ is the number of pies made, which system of inequalities represents the bakery's daily constraints?

A.

$c + p \geq 80$
$1.5 c + p \geq 90$
$c \leq 20$
$p \leq 30$

B.

$c + p \leq 80$
$1.5 c + p \leq 90$
$c \geq 20$
$p \geq 30$

C.

$c + p \geq 80$
$1.5 c + p \geq 90$
$c \geq 20$
$p \geq 30$

D.

$c + p \leq 80$
$1.5 c + p \leq 90$
$c \leq 20$
$p \leq 30$