Could you answer this for me please?

Question

37 1/2 % of what is 24?
66 2/3 % of what is 320?
66 1/2% of what is 120?
80% of what is 244?
Thankyou!!

Answer 1

64
480.48
180.45
305

Answer 2

37 1/2 % of what is 24?
we already know what 37.5% of 100 is. We are looking for the same proportion.

37.5 / 100 = 37.5 % = 24 / X

37.5 / 100 = 24 / X

(37.5/100) 1/24 = (24/X) 1/24

37.5/2400 = 1/X
this is just to get X as the numerator. what you are doing is multiplying both sides by X then multiplying both sides by 2400/37.5. you are finding the reciprocol for both sides.
X = 2400/37.5 = 64

follow the same process for all and you will know how to get the answers.

Answer 3

Just set up this equation to show the relationship:

given %, expressed as a decimal number, multiplied by the unknown number = given number.

Then just manipulate it algebraically to find the unknown number:

(unknown number) = (given number) / given %.

So, for your first problem, this is what you get:

x = 24 / 0.375
x = 64

Do the same thing for all the rest.