Brandon, John and Clint collected erasers in the ratio of 8 : 5 : 8. After Clint gave
34 to Brandon and John, Clint had 285 less erasers than Brandon. The number of erasers that John had increased by 50%. How many erasers did Brandon and Clint have in the end?
|
Brandon |
John |
Clint |
Before |
8 u |
5 u |
8 u |
Change |
+ 3.5 u |
+ 2.5 u |
- 6 u |
After |
11.5 u |
7.5 u |
2 u |
Number of erasers that Clint gave to Brandon and John
=
34 x 8 u
= 6 u
Number of erasers that John received from Clint
=
50100 x 5 u
= 2.5 u
Number of erasers that Brandon received from Clint
= 6 u - 2.5 u
= 3.5 u
Number of less erasers that Clint had less than Brandon
= 11.5 u - 2 u
= 9.5 u
9.5 u = 285
1 u = 285 ÷ 9.5 = 30
Number of erasers that Brandon and Clint had
= 11.5 u + 2 u
= 13.5 u
= 13.5 x 30
= 405
Answer(s): 405