Eric, Oliver and Clifford collected buttons in the ratio of 8 : 8 : 9. After Clifford gave
45 to Eric and Oliver, Clifford had 210 less buttons than Eric. The number of buttons that Oliver had increased by 80%. How many buttons did Eric and Clifford have in the end?
|
Eric |
Oliver |
Clifford |
Before |
8 u |
8 u |
9 u |
Change |
+ 0.8 u |
+ 6.4 u |
- 7.2 u |
After |
8.8 u |
14.4 u |
1.8 u |
Number of buttons that Clifford gave to Eric and Oliver
=
45 x 9 u
= 7.2 u
Number of buttons that Oliver received from Clifford
=
80100 x 8 u
= 6.4 u
Number of buttons that Eric received from Clifford
= 7.2 u - 6.4 u
= 0.8 u
Number of less buttons that Clifford had less than Eric
= 8.8 u - 1.8 u
= 7 u
7 u = 210
1 u = 210 ÷ 7 = 30
Number of buttons that Eric and Clifford had
= 8.8 u + 1.8 u
= 10.6 u
= 10.6 x 30
= 318
Answer(s): 318