Reggie, Justin and Clifford collected coins in the ratio of 11 : 8 : 10. After Clifford gave
310 to Reggie and Justin, Clifford had 108 less coins than Reggie. The number of coins that Justin had increased by 20%. How many coins did Reggie and Clifford have in the end?
|
Reggie |
Justin |
Clifford |
Before |
11 u |
8 u |
10 u |
Change |
+ 1.4 u |
+ 1.6 u |
- 3 u |
After |
12.4 u |
9.6 u |
7 u |
Number of coins that Clifford gave to Reggie and Justin
=
310 x 10 u
= 3 u
Number of coins that Justin received from Clifford
=
20100 x 8 u
= 1.6 u
Number of coins that Reggie received from Clifford
= 3 u - 1.6 u
= 1.4 u
Number of less coins that Clifford had less than Reggie
= 12.4 u - 7 u
= 5.4 u
5.4 u = 108
1 u = 108 ÷ 5.4 = 20
Number of coins that Reggie and Clifford had
= 12.4 u + 7 u
= 19.4 u
= 19.4 x 20
= 388
Answer(s): 388