Sam, Howard and Chris collected marbles in the ratio of 10 : 6 : 5. After Chris gave
45 to Sam and Howard, Chris had 282 less marbles than Sam. The number of marbles that Howard had increased by 60%. How many marbles did Sam and Chris have in the end?
| |
Sam |
Howard |
Chris |
| Before |
10 u |
6 u |
5 u |
| Change |
+ 0.4 u |
+ 3.6 u |
- 4 u |
| After |
10.4 u |
9.6 u |
1 u |
Number of marbles that Chris gave to Sam and Howard
=
45 x 5 u
= 4 u
Number of marbles that Howard received from Chris
=
60100 x 6 u
= 3.6 u
Number of marbles that Sam received from Chris
= 4 u - 3.6 u
= 0.4 u
Number of less marbles that Chris had less than Sam
= 10.4 u - 1 u
= 9.4 u
9.4 u = 282
1 u = 282 ÷ 9.4 = 30
Number of marbles that Sam and Chris had
= 10.4 u + 1 u
= 11.4 u
= 11.4 x 30
= 342
Answer(s): 342
