Solve for x.

5 over 8(x+1 over 2)=100

A) 160 and 1 over 2

B) 62

C) 159 and 1 over 2

D) 63

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To solve for x, we can start by simplifying the equation:

5/8(x + 1/2) = 100

To eliminate the fraction, we can multiply both sides of the equation by the reciprocal of 8/5, which is 5/8:

(5/8)(5/8)(x + 1/2) = (5/8)(100)

(x + 1/2) = (500/8)

Next, we can simplify the right side by dividing the numerator and denominator by 4:
(x + 1/2) = 62.5

Then, subtract 1/2 from both sides of the equation:

x = 62.5 - 1/2

Simplifying further:

x = 62.5 - 0.5

x = 62

Therefore, the correct answer is:

B) 62

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