Andy, Harry and Chung collected erasers in the ratio of 10 : 6 : 9. After Chung gave
710 to Andy and Harry, Chung had 236 less erasers than Andy. The number of erasers that Harry had increased by 30%. How many erasers did Andy and Chung have in the end?
|
Andy |
Harry |
Chung |
Before |
10 u |
6 u |
9 u |
Change |
+ 4.5 u |
+ 1.8 u |
- 6.3 u |
After |
14.5 u |
7.8 u |
2.7 u |
Number of erasers that Chung gave to Andy and Harry
=
710 x 9 u
= 6.3 u
Number of erasers that Harry received from Chung
=
30100 x 6 u
= 1.8 u
Number of erasers that Andy received from Chung
= 6.3 u - 1.8 u
= 4.5 u
Number of less erasers that Chung had less than Andy
= 14.5 u - 2.7 u
= 11.8 u
11.8 u = 236
1 u = 236 ÷ 11.8 = 20
Number of erasers that Andy and Chung had
= 14.5 u + 2.7 u
= 17.2 u
= 17.2 x 20
= 344
Answer(s): 344