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11 votes
11 votes
How did the temperature change if it decreased by 60% and then increased by 80%

User Suspectus
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1 Answer

27 votes
27 votes

Answer:

The temperature decreased by 28%

Explanation:

How did the temperature change if :

At first it decreased by 60%

Then increased by 80%

Assume that the temperature before decreasing is 100%

∵ The temperature before decreasing = 100%

∵ It decreased by 60%

→ Before decreasing : decreasing : after decreasing

→ 100% : 60% : 100% - 60% = 40%

∴ The temperature after decreasing = 40%

Assume that the temperature after decreasing is 100%

∵ The temperature after decreasing = 100%

∵ It increased by 80%

By using the ratio method

→ After decreasing : increasing : after increasing

→ 100% : 80% : 100% + 80% = 180%

→ 40% : : x%

By using cross multiplication

∴ 100% × x% = 40% × 180%

- Divide both sides by 100%

∴ x% =

∴ x% = 72%

∵ At first the temperature = 100%

∵ At last the temperature = 72%

∵ The first the temperature > the last the temperature

∴ The decreasing in temperature = 100% - 72% = 28%

User Mahabub
by
3.4k points