Marion and Howard had a total of $101. After Marion spent
25 of her money and Howard spent $13, the ratio of Marion's money to Kennenth's money became 1 : 2. How much money had Howard at first?
| |
Marion |
Howard |
Total |
| Before |
5 u |
6 u + $13 |
$101 |
| Change |
- 2 u |
- $13 |
|
| After |
3 u |
|
|
Comparing Marion and
Howard in the end |
1x3 =
3 u |
2x3 =
6 u |
|
The amount that Marion had in the end is repeated. Make the amount that Marion had in the end the same. LCM of 3 and 1 is 3.
Total amount that Marion and Howard had at first
= 5 u + 6 u + 13
= 11 u + 13
11 u + 13 = 101
11 u = 101 - 13
11 u = 88
1 u = 88 ÷ 11 = 8
Amount that Howard had at first
= 6 u + 13
= 6 x 8 + 13
= 48 + 13
= $61
Answer(s): $61
