Question

A) 90 IS 30% OF WHAT NUMBER?=B) 40% OF 60 IS WHAT NUMBER?=C) What percentage of 50 is 10?

Answer 1

SOLUTION:

Step 1:

In this question, we are given the following;

PART A - 90 IS 30% OF WHAT NUMBER?=

PART B - 40% OF 60 IS WHAT NUMBER?=

PART C - What percentage of 50 is 10?

Step 2:

The details of the solution are as follows:

PART A:

$\begin{gathered} Let\text{ the number be h, } \\ Then\text{ we have that:} \\ \frac{30}{100}\text{ x h = 90} \end{gathered}$$\begin{gathered} 30\text{ x h = 90 x 100} \\ 30\text{ h = 9000} \\ Divide\text{ both sides by 30, we have that:} \\ h\text{ =}\frac{9000}{30} \\ h\text{ = 300} \end{gathered}$

PART B:

$\begin{gathered} Let\text{ the number be p , } \\ Then,\text{ we have that:} \\ \frac{40}{100}\text{ x 60 = p} \\ \text{ Then, we have that:} \\ p\text{ =}\frac{2400}{100} \\ p\text{ = 24} \end{gathered}$

PART C :

What percentage of 50 is 10?

$\begin{gathered} Let\text{ the percent be x \% , such that:} \\ x\text{ \% of 50 = 10} \\ \frac{x}{100}\text{ x 50 = 10} \\ \frac{50x}{100}=\text{ 10} \\ cross-multiply,\text{ we have that:} \\ 50\text{ x = 10 x 100} \\ 50\text{ x = 1000} \\ Divide\text{ both sides by 50 , we have that:} \\ x\text{ =}\frac{1000}{50} \\ x\text{ = 20\%} \end{gathered}$

CONCLUSION:

The final answers are:

$\begin{gathered} A)\text{ h = 300} \\ B)\text{ p = 24} \\ C)\text{ x = 20 \%} \end{gathered}$