Emma and Howard had a total of $112. After Emma spent
14 of her money and Howard spent $8, the ratio of Emma's money to Kennenth's money became 1 : 3. How much money had Howard at first?
| |
Emma |
Howard |
Total |
| Before |
4 u |
9 u + $8 |
$112 |
| Change |
- 1 u |
- $8 |
|
| After |
3 u |
|
|
Comparing Emma and
Howard in the end |
1x3 =
3 u |
3x3 =
9 u |
|
The amount that Emma had in the end is repeated. Make the amount that Emma had in the end the same. LCM of 3 and 1 is 3.
Total amount that Emma and Howard had at first
= 4 u + 9 u + 8
= 13 u + 8
13 u + 8 = 112
13 u = 112 - 8
13 u = 104
1 u = 104 ÷ 13 = 8
Amount that Howard had at first
= 9 u + 8
= 9 x 8 + 8
= 72 + 8
= $80
Answer(s): $80
