The rate is 17% and the portion is 76. The base is not given (option C)
Explanation:
let the number = y
rate = percent = portion/base
rate = 17%
portion = 76
base = unknown number = y
17% of y = 76
[tex]\begin{gathered} 17\text{ \% }\times\text{ y = }76 \\ 0.17\text{ }\times\text{ y = 76} \\ \text{0.17y = 76} \end{gathered}[/tex][tex]\begin{gathered} \text{divide both sides by 0.17:} \\ \frac{0.17y}{0.17}\text{ = }\frac{76}{0.17} \\ y\text{ = }447.06 \end{gathered}[/tex]
The number is approximately 447.06
base = 447.06
From the options in the image sent:
The base is the unknown. So, it was not given
the portion is 76 , the rate is 17%
The rate is 17% and the portion is 76. The base is not given (option C)
