Oliver, Albert and Chung collected marbles in the ratio of 9 : 8 : 7. After Chung gave
35 to Oliver and Albert, Chung had 500 less marbles than Oliver. The number of marbles that Albert had increased by 5%. How many marbles did Oliver and Chung have in the end?
|
Oliver |
Albert |
Chung |
Before |
9 u |
8 u |
7 u |
Change |
+ 3.8 u |
+ 0.4 u |
- 4.2 u |
After |
12.8 u |
8.4 u |
2.8 u |
Number of marbles that Chung gave to Oliver and Albert
=
35 x 7 u
= 4.2 u
Number of marbles that Albert received from Chung
=
5100 x 8 u
= 0.4 u
Number of marbles that Oliver received from Chung
= 4.2 u - 0.4 u
= 3.8 u
Number of less marbles that Chung had less than Oliver
= 12.8 u - 2.8 u
= 10 u
10 u = 500
1 u = 500 ÷ 10 = 50
Number of marbles that Oliver and Chung had
= 12.8 u + 2.8 u
= 15.6 u
= 15.6 x 50
= 780
Answer(s): 780