Gabriel, Wesley and Calvin collected erasers in the ratio of 10 : 10 : 9. After Calvin gave
15 to Gabriel and Wesley, Calvin had 31 less erasers than Gabriel. The number of erasers that Wesley had increased by 15%. How many erasers did Gabriel and Calvin have in the end?
|
Gabriel |
Wesley |
Calvin |
Before |
10 u |
10 u |
9 u |
Change |
+ 0.3 u |
+ 1.5 u |
- 1.8 u |
After |
10.3 u |
11.5 u |
7.2 u |
Number of erasers that Calvin gave to Gabriel and Wesley
=
15 x 9 u
= 1.8 u
Number of erasers that Wesley received from Calvin
=
15100 x 10 u
= 1.5 u
Number of erasers that Gabriel received from Calvin
= 1.8 u - 1.5 u
= 0.3 u
Number of less erasers that Calvin had less than Gabriel
= 10.3 u - 7.2 u
= 3.1 u
3.1 u = 31
1 u = 31 ÷ 3.1 = 10
Number of erasers that Gabriel and Calvin had
= 10.3 u + 7.2 u
= 17.5 u
= 17.5 x 10
= 175
Answer(s): 175