Question

Identify the rate, base and portion.17% of what number is 76?

Answer 1

The rate is 17% and the portion is 76. The base is not given (option C)

Step-by-step explanation:

let the number = y

rate = percent = portion/base

rate = 17%

portion = 76

base = unknown number = y

17% of y = 76

`\begin{gathered} 17\text{ \% }*\text{ y = }76 \\ 0.17\text{ }*\text{ y = 76} \\ \text{0.17y = 76} \end{gathered}`
`\begin{gathered} \text{divide both sides by 0.17:} \\ (0.17y)/(0.17)\text{ = }(76)/(0.17) \\ y\text{ = }447.06 \end{gathered}`

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)