Question

If you know that 84 is 70% of the whole, explain how you can use proportional reasoning to determine the whole Use the drop-down menus to explain your answer 70 shows 796 as a ratio The ratio 100 whole on compares 84 to the x Write an equation so that the first ratio IS subtracted from the second ratio Solve for x x = 59

Answer 1

Percentage is expressed in terms of 100

For the first part,

70/100 shows 70% as a ratio

For the second part,

if the whole is represented by x, then the ratio, 84/x compares 84 to the whole, x

To solve for x, it becomes

70/100 = 84/x

by cross multiplying, it becomes

70x = 84 * 100 = 8400

x = 8400/70

x = 100 l