In the spring, the owner of a sporting goods store decreases the price of winter gloves from $10.00 to $8.00. She increases the price of swimming goggles from $8.00 to $10.00. Without
doing the math, do you think that the percent decrease in the price of gloves is the same as
the percent increase of the goggles? Explain why or why not.
Answer
Now use math to show whether or not the percent decrease and percent increase are the
same. Explain why or why not.
Show your work.

The percent decrease in the price of gloves is not the same as the percent increase of the goggles, as the gloves will decrease by 20% while the goggles will increase by 25%.

Since in the spring, the owner of a sporting goods store decreases the price of winter gloves from $ 10.00 to $ 8.00, and she increases the price of swimming goggles from $ 8.00 to $ 10.00, to determine if the percent decrease in the price of gloves is the same as the percent increase of the goggles, the following calculation must be performed:

Therefore, the percent decrease in the price of gloves is not the same as the percent increase of the goggles, as the gloves will decrease by 20% while the goggles will increase by 25%.

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Yes, because the reciprocal of 10/8 is 8/10.

Using math 10$ to 8$ is a 20% decrease because 1 - 8/10 = 20% and 8$ to 10$ is a 20% increase because 10/8 - 1 = 20%. Therefore the rate of increase is the same as the rate of decrease.

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