Billy, Owen and Zane shared $130. During a shopping trip, Billy spent
310 of his share, Owen spent
27 of his share and Zane spent
14 of his share. Given that all three boys each spent the same amount of money, how much more money do Billy and Owen have than Zane in the end?
| |
Billy |
Owen |
Zane |
Total |
| Before |
10x2 =
20 u |
7x3 =
21 u |
4x6 =
24 u |
$130 |
| Change |
- 3x2 =
- 6 u |
- 2x3 =
- 6 u |
- 1x6 =
- 6 u |
|
| After |
7x2 =
14 u |
5x3 =
15 u |
3x6 =
18 u |
|
The amounts that Billy, Owen and Zane 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
= 20 u + 21 u + 24 u
= 65 u
65 u = 130
1 u = 130 ÷ 65 = 2
Amount that Billy and Owen have in the end
= 14 u + 15 u
= 29 u
Amount that Billy and Owen have more than Zane in the end
= 29 u - 18 u
= 11 u
= 11 x 2
= $22
Answer(s): $22
