Question

Anna and Betty shared a sum of money in the ratio 2:3. If anna received $60 less than Betty, what was the total amount of money shared?

Answer 1

Answer:

$300

Step-by-step explanation:

Let the ratio be 2x : 3x.

According to Question,

3x - 2x = $60

x = $60

Hence, total money shared = $300

Answer 2

Answer:

$300

Step-by-step explanation:

Let x be amount shared

Ratio sum = 2+3=5

Betty's share = 3/5x

Ann's share = 2/5x

Also, Ann's share = 3/5x - 60

On equating Ann's share:

2/5x = 3/5x - 60

60 = 3/5x - 2/5x

60/1 = x/5 (cross multiply)

x times 1 = 60 x 5

x = $300