Asked by seed

solve for x. 5/8 (x + 1/2) = 100

160 1/2
62
159 1/2
63

Answers

There are no human answers yet.
Answered by GPT 3.5
Let's solve for x step by step.

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

First, let's distribute 5/8 to (x + 1/2):

5/8 * x + 5/8 * 1/2 = 100

5/8 * x + 5/16 = 100

Now, let's simplify the equation by multiplying the denominators:

10x/16 + 5/16 = 100

Now, let's combine the fractions with the same denominator:

(10x + 5)/16 = 100

Next, let's isolate x by multiplying both sides by 16:

16 * (10x + 5)/16 = 100 * 16

Simplifying:

10x + 5 = 1600

Now, let's subtract 5 from both sides of the equation:

10x + 5 - 5 = 1600 - 5

Simplifying:

10x = 1595

Finally, let's solve for x by dividing both sides by 10:

10x/10 = 1595/10

Simplifying:

x = 159.5

Therefore, the value of x is 159.5.

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