Ethan and Neave had $555 altogether. After Ethan spent
13 of his money and Neave spent
23 of his money, Ethan was left with thrice as much money as Neave. How much money did Neave have at first?
|
Ethan |
Neave |
Total |
Before |
3x3 = 9 u |
3x2 = 6 u |
$555 |
Change |
- 1x3 = - 3 u |
- 2x2 = - 4 u |
|
After |
2x3 = 6 u |
1x2 = 2 u |
|
Comparing Ethan and Neave in the end |
3x2 = 6 u |
1x2 = 2 u |
|
The amount that Ethan had in the end is repeated. Make the amount that Ethan had in the end the same. LCM of 2 and 3 is 6.
Total amount that Ethan and Neave had at first
= 9 u + 6 u
= 15 u
15 u = 555
1 u = 555 ÷ 15 = 37
Amount that Neave had at first
= 6 u
= 6 x 37
= $222
Answer(s): $222