Question

The ratio of the amount of money Rachel saved to the amount of money Timothy saved was12 : 13. After Timothy spent $27, Rachel had 3 times as much as Timothy,A. How much did Rachel save?b How much did they save altogether at first?

Answer 1

For a)

Before

Rachel : Timothy

12 : 13

After

Rachel : Timothy

3 : 1

In order to have the same amount for Rachel

12: 4

Timothy

13units -4 units =9 units

9units=$27

1 unit=27/9

1unit = $3

For Rachel

Rachel saved $36

b)

Total units at first =12+13=25

If 1units is $3

25 units is 3x25

25 units is $75

They saved together 75

ANSWER

Rachel saved $36

They saved together 75