Question

If 50% of 120% of 30% of a number is 108,what is the number

Answer 1

Hello from MrBillDoesMath!

Answer:

The number is 600

Discussion:

Percent means "per 100" or divided by 100. The Question is equivalent to

50 % * 120% * 30% * x = 108

where x is the number to be found. This is equivalent to

(50/100)* (120/100) * (30/100) * x = 108 => simplify fractions

(1/2) * (12/10) * ( 3/10) * x = 108 => as 3 * 12 = 36

36/ (2 * 10* 10) * x = 108 => 36 * 3 = 108. Divide by 36

1/(200) *x = 108/36 = 3 => multiply both sides by 200

x = 3 * 200 = 600

Thank you,

MrB

Answer 2

600

Explanation:

Of means multiply and is means equals

50% * 120% * 30% *N= 108

Change to decimal form

.50 * 1.20 * .30 * N = 108

Multiply

.18 N = 108

Divide each side by .18

.18N /.18 = 108/.18

N =600