Oscar, Henry and Chung collected marbles in the ratio of 8 : 9 : 6. After Chung gave
45 to Oscar and Henry, Chung had 240 less marbles than Oscar. The number of marbles that Henry had increased by 40%. How many marbles did Oscar and Chung have in the end?
| |
Oscar |
Henry |
Chung |
| Before |
8 u |
9 u |
6 u |
| Change |
+ 1.2 u |
+ 3.6 u |
- 4.8 u |
| After |
9.2 u |
12.6 u |
1.2 u |
Number of marbles that Chung gave to Oscar and Henry
=
45 x 6 u
= 4.8 u
Number of marbles that Henry received from Chung
=
40100 x 9 u
= 3.6 u
Number of marbles that Oscar received from Chung
= 4.8 u - 3.6 u
= 1.2 u
Number of less marbles that Chung had less than Oscar
= 9.2 u - 1.2 u
= 8 u
8 u = 240
1 u = 240 ÷ 8 = 30
Number of marbles that Oscar and Chung had
= 9.2 u + 1.2 u
= 10.4 u
= 10.4 x 30
= 312
Answer(s): 312
