Question

what is one fourth of a number decreased by 10,is -50
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Answer 1

1/4x - 10 = -50

1/4x = one forth of a number

-10 is decreased by 10

= -50 means is -50

Answer 2

Answer:

$x=-160$

Step-by-step explanation:

One-fourth of a number decreased by 10 is -50. Find the number.

$\frac{1}{4}x-10=-50$

First, add 10 to both sides:

$\frac{1}{4}x-10+10=-50+10\\\\\frac{1}{4}x=-40$

Then, divide each side by $\frac{1}{4}$:

$\frac{1}{4}x\div{\frac{1}{4}}=-40\div{\frac{1}{4}}\\\\x=-40\times{\frac{4}{1}}\\\\x=-160$