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.