0.5
x
+
7.75
≤
15
Explanation:
If you express the information in words first, it will be easier to write as an inequality.
"The amount of money spent on admission to the fair and on a number of rides which each cost $0.50, must be at most $15"
"At most $15" means $15 exactly or less.
$
7.75
+
$
0.50
×
x
≤
$
15
0.5
x
+
7.75
≤
15
This is the required inequality.
To find the maximum number of possible rides,solve for
x
0.5
x
≤
15
−
7.75
0.5
x
≤
7.25
x
≤
14.5
The most rides that can be done is
14