Charlie, Caden and Cai collected erasers in the ratio of 10 : 4 : 9. After Cai gave
310 to Charlie and Caden, Cai had 104 less erasers than Charlie. The number of erasers that Caden had increased by 30%. How many erasers did Charlie and Cai have in the end?
|
Charlie |
Caden |
Cai |
Before |
10 u |
4 u |
9 u |
Change |
+ 1.5 u |
+ 1.2 u |
- 2.7 u |
After |
11.5 u |
5.2 u |
6.3 u |
Number of erasers that Cai gave to Charlie and Caden
=
310 x 9 u
= 2.7 u
Number of erasers that Caden received from Cai
=
30100 x 4 u
= 1.2 u
Number of erasers that Charlie received from Cai
= 2.7 u - 1.2 u
= 1.5 u
Number of less erasers that Cai had less than Charlie
= 11.5 u - 6.3 u
= 5.2 u
5.2 u = 104
1 u = 104 ÷ 5.2 = 20
Number of erasers that Charlie and Cai had
= 11.5 u + 6.3 u
= 17.8 u
= 17.8 x 20
= 356
Answer(s): 356