Sam, Luke and Clifford collected buttons in the ratio of 9 : 4 : 7. After Clifford gave
15 to Sam and Luke, Clifford had 200 less buttons than Sam. The number of buttons that Luke had increased by 20%. How many buttons did Sam and Clifford have in the end?
| |
Sam |
Luke |
Clifford |
| Before |
9 u |
4 u |
7 u |
| Change |
+ 0.6 u |
+ 0.8 u |
- 1.4 u |
| After |
9.6 u |
4.8 u |
5.6 u |
Number of buttons that Clifford gave to Sam and Luke
=
15 x 7 u
= 1.4 u
Number of buttons that Luke received from Clifford
=
20100 x 4 u
= 0.8 u
Number of buttons that Sam received from Clifford
= 1.4 u - 0.8 u
= 0.6 u
Number of less buttons that Clifford had less than Sam
= 9.6 u - 5.6 u
= 4 u
4 u = 200
1 u = 200 ÷ 4 = 50
Number of buttons that Sam and Clifford had
= 9.6 u + 5.6 u
= 15.2 u
= 15.2 x 50
= 760
Answer(s): 760
