Question

`(5)/(10) = (10)/(5 + x)`
how would you solve this?
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Answer 1

Hello!

`\large\boxed{x = 15}`

`(5)/(10)= (10)/(5+x)`

Solve for x by cross multiplying:

`5*(5 + x) = 10 * 10`

Distribute:

`25 + 5x = 100`

Subtract 25 from both sides:

`5x = 75`

Divide both sides by 5 to entirely isolate for x:

`5x/5 = 75/5\\\\x = 15`