Victoria and Billy collect marbles and stickers. Billy has 88 less marbles than stickers. Billy has 3 times the number of marbles Victoria has, and Victoria has 25% more stickers than Billy. After Victoria gives Billy all of her marbles and Billy gives Victoria 75% of his stickers, Billy has 4 more marbles than stickers. Find the number of stickers Victoria has at first.
Victoria |
Billy |
Stickers |
Marbles |
Stickers |
Marbles |
3.75 u + 110 |
1 u |
3 u + 88 |
3 u |
+ 2.25 u + 66 |
- 1 u |
- 2.25 u - 66 |
+ 1 u |
6 u + 176 |
0 |
0.75 u + 22 |
4 u |
100%+ 25% = 125%
125% x 3 u
=
125100 x 3 u
= 3.75 u
125% x 88
=
125100 x 88
= 110
75% x 3 u
=
75100 x 3 u
= 2.25 u
75% x 88
=
75100 x 88
= 66
If another 4 stickers are given to Billy, he will have equal number of stickers and marbles in the end.
4 u = 0.75 u + 22 + 4
4 u - 0.75 u = 26
3.25 u = 26
1 u = 26 ÷ 3.25 = 8
Number of stickers that Victoria has at first
= 3.75 u + 110
= 3.75 x 8 + 110
= 30 + 110
= 140
Answer(s): 140