Sean, Ken and Calvin collected buttons in the ratio of 11 : 6 : 6. After Calvin gave
710 to Sean and Ken, Calvin had 125 less buttons than Sean. The number of buttons that Ken had increased by 15%. How many buttons did Sean and Calvin have in the end?
| |
Sean |
Ken |
Calvin |
| Before |
11 u |
6 u |
6 u |
| Change |
+ 3.3 u |
+ 0.9 u |
- 4.2 u |
| After |
14.3 u |
6.9 u |
1.8 u |
Number of buttons that Calvin gave to Sean and Ken
=
710 x 6 u
= 4.2 u
Number of buttons that Ken received from Calvin
=
15100 x 6 u
= 0.9 u
Number of buttons that Sean received from Calvin
= 4.2 u - 0.9 u
= 3.3 u
Number of less buttons that Calvin had less than Sean
= 14.3 u - 1.8 u
= 12.5 u
12.5 u = 125
1 u = 125 ÷ 12.5 = 10
Number of buttons that Sean and Calvin had
= 14.3 u + 1.8 u
= 16.1 u
= 16.1 x 10
= 161
Answer(s): 161
