Riordan and Fred had $484 altogether. After Riordan spent
16 of his money and Fred spent
34 of his money, Riordan was left with four times as much money as Fred. How much money did Fred have at first?
| |
Riordan |
Fred |
Total |
| Before |
6x4 =
24 u |
4x5 =
20 u |
$484 |
| Change |
- 1x4 =
- 4 u |
- 3x5 =
- 15 u |
|
| After |
5x4 =
20 u |
1x5 =
5 u |
|
Comparing Riordan
and Fred in the end |
4x5 =
20 u |
1x5 =
5 u |
|
The amount that Riordan had in the end is repeated. Make the amount that Riordan had in the end the same. LCM of 5 and 4 is 20.
Total amount that Riordan and Fred had at first
= 24 u + 20 u
= 44 u
44 u = 484
1 u = 484 ÷ 44 = 11
Amount that Fred had at first
= 20 u
= 20 x 11
= $220
Answer(s): $220
