Eric and Howard had $1406 altogether. After Eric spent
14 of his money and Howard spent
56 of his money, Eric was left with five times as much money as Howard. How much money did Howard have at first?
| |
Eric |
Howard |
Total |
| Before |
4x5 =
20 u |
6x3 =
18 u |
$1406 |
| Change |
- 1x5 =
- 5 u |
- 5x3 =
- 15 u |
|
| After |
3x5 =
15 u |
1x3 =
3 u |
|
Comparing Eric
and Howard in the end |
5x3 =
15 u |
1x3 =
3 u |
|
The amount that Eric had in the end is repeated. Make the amount that Eric had in the end the same. LCM of 3 and 5 is 15.
Total amount that Eric and Howard had at first
= 20 u + 18 u
= 38 u
38 u = 1406
1 u = 1406 ÷ 38 = 37
Amount that Howard had at first
= 18 u
= 18 x 37
= $666
Answer(s): $666
