Harry, Owen and Ryan shared $301. During a shopping trip, Harry spent
38 of his share, Owen spent
25 of his share and Ryan spent
12 of his share. Given that all three boys each spent the same amount of money, how much more money do Harry and Owen have than Ryan in the end?
| |
Harry |
Owen |
Ryan |
Total |
| Before |
8x2 =
16 u |
5x3 =
15 u |
2x6 =
12 u |
$301 |
| Change |
- 3x2 =
- 6 u |
- 2x3 =
- 6 u |
- 1x6 =
- 6 u |
|
| After |
5x2 =
10 u |
3x3 =
9 u |
1x6 =
6 u |
|
The amounts that Harry, Owen and Ryan 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 = 301
1 u = 301 ÷ 43 = 7
Amount that Harry and Owen have in the end
= 10 u + 9 u
= 19 u
Amount that Harry and Owen have more than Ryan in the end
= 19 u - 6 u
= 13 u
= 13 x 7
= $91
Answer(s): $91
