Question

If you know that 84 is 70% of a whole, explain how you can use proportional reasoning to determine the whole

Answer 1

Answer:

The whole number was 120.

Step-by-step explanation:

Let the whole number that is to be determined is = x

Then 70% of this number = 70% of x

Replace 'of' by the sign of multiplication

70% of x = $x\times \frac{70}{100}$

              = 0.7x

If 70% of x is equal to 84 then the expression will be

0.7x = 84

x = $\frac{84}{0.7}$

x = $\frac{840}{7}$

x = 120

Therefore, the whole number was 120.

Answer 2

Set up an equation.

Let w = whole number

84 = 0.70w

84/0.70 = w

120 = w