Daniel and Fred had $285 altogether. After Daniel spent
13 of his money and Fred spent
45 of his money, Daniel was left with thrice as much money as Fred. How much money did Fred have at first?
| |
Daniel |
Fred |
Total |
| Before |
3x3 =
9 u |
5x2 =
10 u |
$285 |
| Change |
- 1x3 =
- 3 u |
- 4x2 =
- 8 u |
|
| After |
2x3 =
6 u |
1x2 =
2 u |
|
Comparing Daniel
and Fred in the end |
3x2 =
6 u |
1x2 =
2 u |
|
The amount that Daniel had in the end is repeated. Make the amount that Daniel had in the end the same. LCM of 2 and 3 is 6.
Total amount that Daniel and Fred had at first
= 9 u + 10 u
= 19 u
19 u = 285
1 u = 285 ÷ 19 = 15
Amount that Fred had at first
= 10 u
= 10 x 15
= $150
Answer(s): $150
