Sam, John and Chris collected marbles in the ratio of 9 : 4 : 10. After Chris gave
35 to Sam and John, Chris had 408 less marbles than Sam. The number of marbles that John had increased by 20%. How many marbles did Sam and Chris have in the end?
| |
Sam |
John |
Chris |
| Before |
9 u |
4 u |
10 u |
| Change |
+ 5.2 u |
+ 0.8 u |
- 6 u |
| After |
14.2 u |
4.8 u |
4 u |
Number of marbles that Chris gave to Sam and John
=
35 x 10 u
= 6 u
Number of marbles that John received from Chris
=
20100 x 4 u
= 0.8 u
Number of marbles that Sam received from Chris
= 6 u - 0.8 u
= 5.2 u
Number of less marbles that Chris had less than Sam
= 14.2 u - 4 u
= 10.2 u
10.2 u = 408
1 u = 408 ÷ 10.2 = 40
Number of marbles that Sam and Chris had
= 14.2 u + 4 u
= 18.2 u
= 18.2 x 40
= 728
Answer(s): 728
