Question

When a number is decreased by 3.5%, the result is 91 what is the original number to the nearest tenth

Answer 1

87.8

Explanation:

So you have to multiply 91 times 3.5 which equals 318.5

91 × 3.5 = 318.5

Then divide 318.5 by 100 which equals 3.185

318.5 ÷ 100 = 3.185

Next subtract 91 by 3.185 which equals 87.815

91 - 3.185 = 87.815

Last Round 87.815 to 87.8

87.8 should be the answer

Hope this helps

Answer 2

The number is 94.3 (to the nearest tenth)

Explanation:

Let the number =x

When x is decreased by 3.5%, we have:

(100% of x)-(3.5% of x)=(100-3.5)% of x =96.5% of x

When a number is decreased by 3.5%, the result is 91.

Therefore:

96.5% of x = 91

Converting percentage to decimal: 96.5%=0.965

0.965x = 91

Divide both sides by 0.965

x=94.3

The number is 94.3 (to the nearest tenth)