Glen, Vincent and Cole collected coins in the ratio of 10 : 5 : 6. After Cole gave
710 to Glen and Vincent, Cole had 456 less coins than Glen. The number of coins that Vincent had increased by 20%. How many coins did Glen and Cole have in the end?
| |
Glen |
Vincent |
Cole |
| Before |
10 u |
5 u |
6 u |
| Change |
+ 3.2 u |
+ 1 u |
- 4.2 u |
| After |
13.2 u |
6 u |
1.8 u |
Number of coins that Cole gave to Glen and Vincent
=
710 x 6 u
= 4.2 u
Number of coins that Vincent received from Cole
=
20100 x 5 u
= 1 u
Number of coins that Glen received from Cole
= 4.2 u - 1 u
= 3.2 u
Number of less coins that Cole had less than Glen
= 13.2 u - 1.8 u
= 11.4 u
11.4 u = 456
1 u = 456 ÷ 11.4 = 40
Number of coins that Glen and Cole had
= 13.2 u + 1.8 u
= 15 u
= 15 x 40
= 600
Answer(s): 600
