Simon and Howard had $441 altogether. After Simon spent
13 of his money and Howard spent
56 of his money, Simon was left with thrice as much money as Howard. How much money did Howard have at first?
|
Simon |
Howard |
Total |
Before |
3x3 = 9 u |
6x2 = 12 u |
$441 |
Change |
- 1x3 = - 3 u |
- 5x2 = - 10 u |
|
After |
2x3 = 6 u |
1x2 = 2 u |
|
Comparing Simon and Howard in the end |
3x2 = 6 u |
1x2 = 2 u |
|
The amount that Simon had in the end is repeated. Make the amount that Simon had in the end the same. LCM of 2 and 3 is 6.
Total amount that Simon and Howard had at first
= 9 u + 12 u
= 21 u
21 u = 441
1 u = 441 ÷ 21 = 21
Amount that Howard had at first
= 12 u
= 12 x 21
= $252
Answer(s): $252