Question

A sporting goods store owner estimates that if he sells a certain model of basketball shoes for x dollars a pair, he will be able to sell 125 x pairs. Find the two possible prices if his sales are $3750.

Answer 1

Let's start by setting up an equation to represent the situation:

125x = 3750

We can solve for x by dividing both sides by 125:

x = 30

This tells us that if the shoes are sold for $30 per pair, the store owner will be able to sell 125 x 30 = 3750 pairs.

Now, we need to find the two possible prices. We know that the store owner can sell the shoes for $30 per pair, so we need to find two prices that would result in sales of $3750.

One possible price is $60 per pair. If the shoes are sold for $60 per pair, the store owner will be able to sell 62.5 x 60 = 3750 pairs.

Another possible price is $15 per pair. If the shoes are sold for $15 per pair, the store owner will be able to sell 250 x 15 = 3750 pairs.

Therefore, the two possible prices are $60 per pair and $15 per pair.