Sam, Fred and Chung collected coins in the ratio of 11 : 8 : 6. After Chung gave
34 to Sam and Fred, Chung had 496 less coins than Sam. The number of coins that Fred had increased by 20%. How many coins did Sam and Chung have in the end?
| |
Sam |
Fred |
Chung |
| Before |
11 u |
8 u |
6 u |
| Change |
+ 2.9 u |
+ 1.6 u |
- 4.5 u |
| After |
13.9 u |
9.6 u |
1.5 u |
Number of coins that Chung gave to Sam and Fred
=
34 x 6 u
= 4.5 u
Number of coins that Fred received from Chung
=
20100 x 8 u
= 1.6 u
Number of coins that Sam received from Chung
= 4.5 u - 1.6 u
= 2.9 u
Number of less coins that Chung had less than Sam
= 13.9 u - 1.5 u
= 12.4 u
12.4 u = 496
1 u = 496 ÷ 12.4 = 40
Number of coins that Sam and Chung had
= 13.9 u + 1.5 u
= 15.4 u
= 15.4 x 40
= 616
Answer(s): 616
