Neave, Charlie and Ivan shared $430. During a shopping trip, Neave spent
38 of his share, Charlie spent
25 of his share and Ivan spent
12 of his share. Given that all three boys each spent the same amount of money, how much more money do Neave and Charlie have than Ivan in the end?
|
Neave |
Charlie |
Ivan |
Total |
Before |
8x2 = 16 u |
5x3 = 15 u |
2x6 = 12 u |
$430 |
Change |
- 3x2 = - 6 u |
- 2x3 = - 6 u |
- 1x6 = - 6 u |
|
After |
5x2 = 10 u |
3x3 = 9 u |
1x6 = 6 u |
|
The amounts that Neave, Charlie and Ivan spent is the same. Make the amounts that each boy spent the same. LCM of 3, 2 and 1 is 6.
Amounts that the 3 boys had at first
= 16 u + 15 u + 12 u
= 43 u
43 u = 430
1 u = 430 ÷ 43 = 10
Amount that Neave and Charlie have in the end
= 10 u + 9 u
= 19 u
Amount that Neave and Charlie have more than Ivan in the end
= 19 u - 6 u
= 13 u
= 13 x 10
= $130
Answer(s): $130