Question

A sunglassez store bought $5000 worth of sunglasses. The store made $9000, making a profit $20 per pair of sunglasses. There were........ pairs of sunglasses involved.

Answer 1

200 because 5000/200 is 25 and add the profit to that to get 45. 9000/200 is 45. Sorry if that doesn't make sense :/

Answer 2

The number of sunglasses that the considered stored bought for this case is 200

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, it is given that:

• Total cost of sunglasses = $5000
• Revenue made by the store=  $9000
• On each sunglass, the profit was of $20

Let there were S sunglasses.

The profit = Revenue - cost price = $9000 - $5000 = $4000

For 1 sunglass there was $20 profit, for S sunglass, it would be 20 + 20 + 20 + ... + 20 (S times) = $20 \times S$ (in dollars).

But the revenue is $4000, so these both expressions are equal.

Or,

$20 \times S= 4000\\\text{Dividing both the sides by 20}\\\\S = \dfrac{4000}{20} = 200$

Thus, the number of sunglasses that the considered stored bought for this case is 200

Learn more about forming equations here:

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