Vincent, Henry and Chung collected marbles in the ratio of 11 : 6 : 7. After Chung gave
45 to Vincent and Henry, Chung had 107 less marbles than Vincent. The number of marbles that Henry had increased by 75%. How many marbles did Vincent and Chung have in the end?
|
Vincent |
Henry |
Chung |
Before |
11 u |
6 u |
7 u |
Change |
+ 1.1 u |
+ 4.5 u |
- 5.6 u |
After |
12.1 u |
10.5 u |
1.4 u |
Number of marbles that Chung gave to Vincent and Henry
=
45 x 7 u
= 5.6 u
Number of marbles that Henry received from Chung
=
75100 x 6 u
= 4.5 u
Number of marbles that Vincent received from Chung
= 5.6 u - 4.5 u
= 1.1 u
Number of less marbles that Chung had less than Vincent
= 12.1 u - 1.4 u
= 10.7 u
10.7 u = 107
1 u = 107 ÷ 10.7 = 10
Number of marbles that Vincent and Chung had
= 12.1 u + 1.4 u
= 13.5 u
= 13.5 x 10
= 135
Answer(s): 135