Question

Mary and Jane have $48 to share in the ratio 3:5. How much did each girl 2 points

receive? (SHOW WORKING)​

Answer 1

Mary = $18

Jane = $30

Explanation:

The first thing you need to do is find out how much each part is. To do that you need to add each side of the ratio together (3 + 5 = 8). THen you set up an equation showing the 8 parts * x = 48 and solve for x.

8x = 48

x = 6 <-- Value of each part

Now you multiply the 6 by the number on each side of the ratio,

Mary = 3 * 6 = 18

Jane = 5 * 6 = 30

The above is your answer.

Answer 2

Mary- $18

Jane- $30

Explanation:

Add the numbers in the ratio together to get 8, and multiply 8 by the variable of x. Divide the total amount of money that both girls earned by 8. You will get x=6. Multiply 6 by 3 to get the amount of money Mary earned, which is 18, and multiply 6 by 5 to get the amount of money Jane earned, which is 30.

x(3+5) = $48

3x + 5x = $48

8x = $48

8x/8 = $48/8

x = $6

3($6):5($6) = $18:$30