Asher, Ben and Chris collected buttons in the ratio of 10 : 9 : 10. After Chris gave
34 to Asher and Ben, Chris had 396 less buttons than Asher. The number of buttons that Ben had increased by 20%. How many buttons did Asher and Chris have in the end?
| |
Asher |
Ben |
Chris |
| Before |
10 u |
9 u |
10 u |
| Change |
+ 5.7 u |
+ 1.8 u |
- 7.5 u |
| After |
15.7 u |
10.8 u |
2.5 u |
Number of buttons that Chris gave to Asher and Ben
=
34 x 10 u
= 7.5 u
Number of buttons that Ben received from Chris
=
20100 x 9 u
= 1.8 u
Number of buttons that Asher received from Chris
= 7.5 u - 1.8 u
= 5.7 u
Number of less buttons that Chris had less than Asher
= 15.7 u - 2.5 u
= 13.2 u
13.2 u = 396
1 u = 396 ÷ 13.2 = 30
Number of buttons that Asher and Chris had
= 15.7 u + 2.5 u
= 18.2 u
= 18.2 x 30
= 546
Answer(s): 546
