Question

Jack, Evan and Molly share somo money in the ratio 5:9:6 In total, Jack and Molly receive $77 Work out the amount of money that Evan receives.

Answer 1

To determine the amount of money Evan receives, divide the total amount given to Jack and Molly by their combined ratio and subtract the result from 1. Then, multiply this value by the total money given to find Evan's amount.

Step-by-step explanation:

To find out the amount of money Evan receives, we need to determine the total ratio of the three individuals. The ratio of Jack, Evan and Molly is 5:9:6, which adds up to 20 (5+9+6). Since Jack and Molly receive a total of $77, we can calculate their combined ratio as follows:

Jack's ratio = 5/20

Molly's ratio = 6/20

Therefore, Evan's ratio = 1 - (Jack's ratio + Molly's ratio) = 1 - (5/20 + 6/20) = 1 - 11/20 = 9/20.

To determine the amount of money Evan receives, we multiply his ratio by the total money given:

Evan's money = (9/20) * $77 = $34.65.

Answer 2

$63

Step-by-step explanation:

Find out the total amount of units that Jack and Molly have.

5 + 6 = 11

11 units = $77

Find out 1 unit to be able to find out how much Evan receives.

1 unit = $77 ÷ 11 = 7

Evan has 9 units, so find out how much money is 9 units.

9 units = 7 x 9 = $63