A company recently replaced its 9-oz cup of yogurt with a 7-oz cup and reduced the suggested retail price from 87 cents to 75 cents. Was the price per ounce reduced by the same percent as the size of the cup? If not, find the price difference per ounce in terms of a percent.

Question 1

Was the price per ounce reduced by the same percent as the size of the cup? No it's not the same

Question 2

If not, find the price difference per ounce in terms of a percent.

13.8%

Step-by-step explanation:

The first yoghurt cup size = 9 oz

The second and recent yoghurt cup size = 7 oz

The difference in ounces = 9 oz - 7 oz

= 2 oz

Converting this difference to percentage

= 2 oz/ 9 oz × 100%

= 22.222222222%

The percent reduction in cup size is approximately

22.2%.

The first retail price per ounce = 87 cents

The second and recent retail price per ounce =75 cents

The difference in prices = 87 cents - 75 cents

= 12 cents

Converting this difference to percentage

= 12 cents / 87 cents × 100%

= 13.793103448%

The percent reduction in yoghurt price per ounce is approximately

13.8%.

Question 1

Was the price per ounce reduced by the same percent as the size of the cup?

From the above calculation,

Percent reduction in price per ounce =

13.8%

Percent reduction in the size of the cup = 22.2%

13.8% ≠ 22.2%

Therefore, it is not the same

Question 2

If not, find the price difference per ounce in terms of a percent.

Therefore, the price difference per ounce in terms of percent is

13.793103448%.

Approximately ≈ 13.8%

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