Question

A company provides carousel rides for,

a
, adults and,
c
, children. The company charges
$
12
for each adult and
$
7.50
for each child. The company can have as many as
36
people and needs to take in a minimum of
$
325
to make a profit. Which of the following systems of equations represents the situation?

12
a
+
7.50
c
≤
325
a
+
c
≤
36
12
a
+
7.50
c
>
325
a
+
c
<
36
12
a
+
7.50
c
≥
325
a
+
c
≤
36
12
a
+
7.50
c
≥
325
a
+
c
≥
36

Answer 1

Answer: 12a+7.50c ≥ 325 anda +c ≤ 36

Explanation:

Answer 2

Answer: 12a+7.50c ≥ 325 and a+c ≤ 36

==========================================

Work Shown:

a = number of adults

c = number of children

12a = revenue from just the adults

7.50c = revenue from just the children

12a+7.50c = total revenue

total revenue ≥ $325

12a+7.50c ≥ 325 is part of the answer

--------------

a+c = total number of people

total number of people ≤ 36

a+c ≤ 36 is the other part of the answer