Billy, Bryan and Chris collected buttons in the ratio of 7 : 9 : 5. After Chris gave
35 to Billy and Bryan, Chris had 284 less buttons than Billy. The number of buttons that Bryan had increased by 10%. How many buttons did Billy and Chris have in the end?
| |
Billy |
Bryan |
Chris |
| Before |
7 u |
9 u |
5 u |
| Change |
+ 2.1 u |
+ 0.9 u |
- 3 u |
| After |
9.1 u |
9.9 u |
2 u |
Number of buttons that Chris gave to Billy and Bryan
=
35 x 5 u
= 3 u
Number of buttons that Bryan received from Chris
=
10100 x 9 u
= 0.9 u
Number of buttons that Billy received from Chris
= 3 u - 0.9 u
= 2.1 u
Number of less buttons that Chris had less than Billy
= 9.1 u - 2 u
= 7.1 u
7.1 u = 284
1 u = 284 ÷ 7.1 = 40
Number of buttons that Billy and Chris had
= 9.1 u + 2 u
= 11.1 u
= 11.1 x 40
= 444
Answer(s): 444
