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.
solve for x. 5/8 (x + 1/2) = 100
160 1/2
62
159 1/2
63
1 answer
1 answer