Luke, Mark and Cole collected erasers in the ratio of 12 : 7 : 4. After Cole gave
34 to Luke and Mark, Cole had 595 less erasers than Luke. The number of erasers that Mark had increased by 30%. How many erasers did Luke and Cole have in the end?
| |
Luke |
Mark |
Cole |
| Before |
12 u |
7 u |
4 u |
| Change |
+ 0.9 u |
+ 2.1 u |
- 3 u |
| After |
12.9 u |
9.1 u |
1 u |
Number of erasers that Cole gave to Luke and Mark
=
34 x 4 u
= 3 u
Number of erasers that Mark received from Cole
=
30100 x 7 u
= 2.1 u
Number of erasers that Luke received from Cole
= 3 u - 2.1 u
= 0.9 u
Number of less erasers that Cole had less than Luke
= 12.9 u - 1 u
= 11.9 u
11.9 u = 595
1 u = 595 ÷ 11.9 = 50
Number of erasers that Luke and Cole had
= 12.9 u + 1 u
= 13.9 u
= 13.9 x 50
= 695
Answer(s): 695
