Billy, Will and Clayton collected coins in the ratio of 7 : 9 : 8. After Clayton gave
35 to Billy and Will, Clayton had 150 less coins than Billy. The number of coins that Will had increased by 40%. How many coins did Billy and Clayton have in the end?
| |
Billy |
Will |
Clayton |
| Before |
7 u |
9 u |
8 u |
| Change |
+ 1.2 u |
+ 3.6 u |
- 4.8 u |
| After |
8.2 u |
12.6 u |
3.2 u |
Number of coins that Clayton gave to Billy and Will
=
35 x 8 u
= 4.8 u
Number of coins that Will received from Clayton
=
40100 x 9 u
= 3.6 u
Number of coins that Billy received from Clayton
= 4.8 u - 3.6 u
= 1.2 u
Number of less coins that Clayton had less than Billy
= 8.2 u - 3.2 u
= 5 u
5 u = 150
1 u = 150 ÷ 5 = 30
Number of coins that Billy and Clayton had
= 8.2 u + 3.2 u
= 11.4 u
= 11.4 x 30
= 342
Answer(s): 342
