Neave and Pierre had $800 altogether. After Neave spent
14 of his money and Pierre spent
23 of his money, Neave was left with four times as much money as Pierre. How much money did Pierre have at first?
|
Neave |
Pierre |
Total |
Before |
4x4 = 16 u |
3x3 = 9 u |
$800 |
Change |
- 1x4 = - 4 u |
- 2x3 = - 6 u |
|
After |
3x4 = 12 u |
1x3 = 3 u |
|
Comparing Neave and Pierre in the end |
4x3 = 12 u |
1x3 = 3 u |
|
The amount that Neave had in the end is repeated. Make the amount that Neave had in the end the same. LCM of 3 and 4 is 12.
Total amount that Neave and Pierre had at first
= 16 u + 9 u
= 25 u
25 u = 800
1 u = 800 ÷ 25 = 32
Amount that Pierre had at first
= 9 u
= 9 x 32
= $288
Answer(s): $288