Esther and Sam had a total of $48. After Esther spent
47 of her money and Sam spent $10, the ratio of Esther's money to Kennenth's money became 1 : 4. How much money had Sam at first?
| |
Esther |
Sam |
Total |
| Before |
7 u |
12 u + $10 |
$48 |
| Change |
- 4 u |
- $10 |
|
| After |
3 u |
|
|
Comparing Esther and
Sam in the end |
1x3 =
3 u |
4x3 =
12 u |
|
The amount that Esther had in the end is repeated. Make the amount that Esther had in the end the same. LCM of 3 and 1 is 3.
Total amount that Esther and Sam had at first
= 7 u + 12 u + 10
= 19 u + 10
19 u + 10 = 48
19 u = 48 - 10
19 u = 38
1 u = 38 ÷ 19 = 2
Amount that Sam had at first
= 12 u + 10
= 12 x 2 + 10
= 24 + 10
= $34
Answer(s): $34
