Kylie and Vaidev collect marbles and erasers. Vaidev has 88 more erasers than marbles. Vaidev has 2 times the number of marbles Kylie has, and Kylie has 25% more erasers than Vaidev. After Kylie gives Vaidev all of her marbles and Vaidev gives Kylie 75% of his erasers, Vaidev has 3 more marbles than erasers. Find the number of erasers Kylie has at first.
Kylie |
Vaidev |
Erasers |
Marbles |
Erasers |
Marbles |
2.5 u + 110 |
1 u |
2 u + 88 |
2 u |
+ 1.5 u + 66 |
- 1 u |
- 1.5 u - 66 |
+ 1 u |
4 u + 176 |
0 |
0.5 u + 22 |
3 u |
100% + 25% = 125%
125% x 2 u
=
125100 x 2 u
= 2.5 u
125% x 88
=
125100 x 88
= 110
75% x 2 u
=
75100 x 2 u
= 1.5 u
75% x 88
=
75100 x 88
= 66
If another 3 erasers are given to Vaidev, he will have equal number of erasers and marbles in the end.
3 u = 0.5 u + 22 + 3
3 u - 0.5 u = 25
2.5 u = 25
1 u = 25 ÷ 2.5 = 10
Number of erasers that Kylie has at first
= 2.5 u + 110
= 2.5 x 10 + 110
= 25 + 110
= 135
Answer(s): 135