Question

Maya bought
1
pair of pants for
$
20
and
n
shirts that cost
c
dollars each. The total cost of the pants and shirts was less than
$
100
.



The situation can be represented by the inequality
c
n
+
20
<
100
.



Which statement describes the possible number of shirts Maya bought in terms of the cost of each shirt?



A.
The number of shirts Maya bought was less than the cost of each shirt divided by
5
.

B.
The number of shirts Maya bought was less than
5
divided by the cost of each shirt.

C.
The number of shirts Maya bought was less than the cost of each shirt divided by
80
.

D.
The number of shirts Maya bought was less than
80
divided by the cost of each shirt.

Answer 1

Start with cn + 20 < 100. Subtract 20: cn < 80. Since each shirt costs a positive amount (c > 0), divide by c to get n < 80/c.

So the number of shirts was less than 80 divided by the cost of each shirt — answer D.