Reggie, Simon and Chen collected buttons in the ratio of 7 : 5 : 10. After Chen gave
14 to Reggie and Simon, Chen had 50 less buttons than Reggie. The number of buttons that Simon had increased by 20%. How many buttons did Reggie and Chen have in the end?
| |
Reggie |
Simon |
Chen |
| Before |
7 u |
5 u |
10 u |
| Change |
+ 1.5 u |
+ 1 u |
- 2.5 u |
| After |
8.5 u |
6 u |
7.5 u |
Number of buttons that Chen gave to Reggie and Simon
=
14 x 10 u
= 2.5 u
Number of buttons that Simon received from Chen
=
20100 x 5 u
= 1 u
Number of buttons that Reggie received from Chen
= 2.5 u - 1 u
= 1.5 u
Number of less buttons that Chen had less than Reggie
= 8.5 u - 7.5 u
= 1 u
1 u = 50
1 u = 50 ÷ 1 = 50
Number of buttons that Reggie and Chen had
= 8.5 u + 7.5 u
= 16 u
= 16 x 50
= 800
Answer(s): 800
