Pierre, Owen and Curry collected erasers in the ratio of 10 : 5 : 7. After Curry gave
310 to Pierre and Owen, Curry had 67 less erasers than Pierre. The number of erasers that Owen had increased by 10%. How many erasers did Pierre and Curry have in the end?
|
Pierre |
Owen |
Curry |
Before |
10 u |
5 u |
7 u |
Change |
+ 1.6 u |
+ 0.5 u |
- 2.1 u |
After |
11.6 u |
5.5 u |
4.9 u |
Number of erasers that Curry gave to Pierre and Owen
=
310 x 7 u
= 2.1 u
Number of erasers that Owen received from Curry
=
10100 x 5 u
= 0.5 u
Number of erasers that Pierre received from Curry
= 2.1 u - 0.5 u
= 1.6 u
Number of less erasers that Curry had less than Pierre
= 11.6 u - 4.9 u
= 6.7 u
6.7 u = 67
1 u = 67 ÷ 6.7 = 10
Number of erasers that Pierre and Curry had
= 11.6 u + 4.9 u
= 16.5 u
= 16.5 x 10
= 165
Answer(s): 165