Question

What ratio is equivalent to 7:4 if the question is 84:(blank) i need to know the answer for blank

Answer 1

48

Step-by-step explanation

Two ratios are equivalent if they both simplify to the same ratio.

If we have ratio 7:4 - which is already simplified - and we want to know what's the equivalent ratio that starts with 84:__ we have to see by what number should we multiply 7 to get 84. Then, to fill in the blank, we have to multiply 4 by that number.

To find this number we just have to divide 84 by 7:

`\begin{gathered} 7x=84 \\ x=(84)/(7) \\ x=12 \end{gathered}`

If 7 times 12 is 84, then the number that's missing is 4 times 12:

`4\cdot12=48`

The equivalent ratio is 84:48