Question

Three times the quantity h + 4 equals four times the quantity h-1. What value of h makes this sentence true?

F.h=3
G.h=5
H. h=8
J. h= 16​

Answer 1

Given that three times the quantity h + 4 equals four times the quantity h - 1.

This can be written in expression as,

`3(h+4)=4(h-1)`

We need to determine the value of h that makes the above sentence true.

The value of h:

The value of h can be determined by solving the expression
`3(h+4)=4(h-1)`

Simplifying the terms, we have;

`3h+12=4h-4`

`-h+12=-4`

`-h=-12-4`

`-h=-16`

`h=16`

Thus, the value of h is 16.

Hence, the value of h that makes the sentence true is 16.

Therefore, Option J is the correct answer.