Eric and Fred had $528 altogether. After Eric spent
14 of his money and Fred spent
78 of his money, Eric was left with five times as much money as Fred. How much money did Fred have at first?
| |
Eric |
Fred |
Total |
| Before |
4x5 =
20 u |
8x3 =
24 u |
$528 |
| Change |
- 1x5 =
- 5 u |
- 7x3 =
- 21 u |
|
| After |
3x5 =
15 u |
1x3 =
3 u |
|
Comparing Eric
and Fred 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 Fred had at first
= 20 u + 24 u
= 44 u
44 u = 528
1 u = 528 ÷ 44 = 12
Amount that Fred had at first
= 24 u
= 24 x 12
= $288
Answer(s): $288
