Question

Winston planned to spend no more than $150 on a helmet and goggles for skiing. After

spending $90.50 on a helmet, he bought a pair of goggles that put him over his budget.
Let x represent the cost of the goggles. Which inequality describes the problem?
90.50 + x>
150
90.50 + x <
150
Solve the inequality. Then, complete the sentence to describe the solution.
The goggles cost more than $
Submit

Answer 1

• (a) 90.50 +x > 150
• The goggles cost more than $59.50

Explanation:

You want an inequality and its solution for finding the cost of goggles that put Winston over his $150 budget when combined with the purchase of a $90.50 helmet.

Total cost

If x represents the cost of the goggles, then Winston's total spending is ...

90.50 + x

If that is over is $150 budget, the relation is described by ...

90.50 +x > 150

Solution

Subtracting 90.50 from both sides gives ...

x > 59.50

This tells us the goggles cost more than $59.50.

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