Nick, Oliver and Clayton collected erasers in the ratio of 11 : 4 : 4. After Clayton gave
710 to Nick and Oliver, Clayton had 212 less erasers than Nick. The number of erasers that Oliver had increased by 50%. How many erasers did Nick and Clayton have in the end?
|
Nick |
Oliver |
Clayton |
Before |
11 u |
4 u |
4 u |
Change |
+ 0.8 u |
+ 2 u |
- 2.8 u |
After |
11.8 u |
6 u |
1.2 u |
Number of erasers that Clayton gave to Nick and Oliver
=
710 x 4 u
= 2.8 u
Number of erasers that Oliver received from Clayton
=
50100 x 4 u
= 2 u
Number of erasers that Nick received from Clayton
= 2.8 u - 2 u
= 0.8 u
Number of less erasers that Clayton had less than Nick
= 11.8 u - 1.2 u
= 10.6 u
10.6 u = 212
1 u = 212 ÷ 10.6 = 20
Number of erasers that Nick and Clayton had
= 11.8 u + 1.2 u
= 13 u
= 13 x 20
= 260
Answer(s): 260