Answer:
16.55x +14.75y ≤ 100
Step-by-step explanation:
The sum of costs must not exceed the budget amount. The sum of costs is the sum of products of cost and quantity.
The problem statement tells us x is the number of basketballs and $16.55 is their price. This means 16.55x will be the total price of purchased basketballs.
Likewise, y is the number of soccer balls, and $14.75 is their price. 14.75y will be the total price of the purchased soccer balls.
The total of both purchases is then ...
... 16.55x + 14.75y
and this value must be less than or equal to $100. The inequality is written ...
... 16.55x +14.75y ≤ 100