Daniel, Riordan and Charlie collected erasers in the ratio of 10 : 7 : 6. After Charlie gave
35 to Daniel and Riordan, Charlie had 182 less erasers than Daniel. The number of erasers that Riordan had increased by 30%. How many erasers did Daniel and Charlie have in the end?
|
Daniel |
Riordan |
Charlie |
Before |
10 u |
7 u |
6 u |
Change |
+ 1.5 u |
+ 2.1 u |
- 3.6 u |
After |
11.5 u |
9.1 u |
2.4 u |
Number of erasers that Charlie gave to Daniel and Riordan
=
35 x 6 u
= 3.6 u
Number of erasers that Riordan received from Charlie
=
30100 x 7 u
= 2.1 u
Number of erasers that Daniel received from Charlie
= 3.6 u - 2.1 u
= 1.5 u
Number of less erasers that Charlie had less than Daniel
= 11.5 u - 2.4 u
= 9.1 u
9.1 u = 182
1 u = 182 ÷ 9.1 = 20
Number of erasers that Daniel and Charlie had
= 11.5 u + 2.4 u
= 13.9 u
= 13.9 x 20
= 278
Answer(s): 278