Gabriel, Archie and Clayton collected erasers in the ratio of 8 : 7 : 9. After Clayton gave
45 to Gabriel and Archie, Clayton had 127 less erasers than Gabriel. The number of erasers that Archie had increased by 10%. How many erasers did Gabriel and Clayton have in the end?
|
Gabriel |
Archie |
Clayton |
Before |
8 u |
7 u |
9 u |
Change |
+ 6.5 u |
+ 0.7 u |
- 7.2 u |
After |
14.5 u |
7.7 u |
1.8 u |
Number of erasers that Clayton gave to Gabriel and Archie
=
45 x 9 u
= 7.2 u
Number of erasers that Archie received from Clayton
=
10100 x 7 u
= 0.7 u
Number of erasers that Gabriel received from Clayton
= 7.2 u - 0.7 u
= 6.5 u
Number of less erasers that Clayton had less than Gabriel
= 14.5 u - 1.8 u
= 12.7 u
12.7 u = 127
1 u = 127 ÷ 12.7 = 10
Number of erasers that Gabriel and Clayton had
= 14.5 u + 1.8 u
= 16.3 u
= 16.3 x 10
= 163
Answer(s): 163