Yoko and Fabian collect erasers and stickers. Fabian has 100 less erasers than stickers. Fabian has 4 times the number of erasers Yoko has, and Yoko has 20% more stickers than Fabian. After Yoko gives Fabian all of her erasers and Fabian gives Yoko 70% of his stickers, Fabian has 46 more erasers than stickers. Find the number of stickers Yoko has at first.
Yoko |
Fabian |
Stickers |
Erasers |
Stickers |
Erasers |
4.8 u + 120 |
1 u |
4 u + 100 |
4 u |
+ 2.8 u + 70 |
- 1 u |
- 2.8 u - 70 |
+ 1 u |
7.6 u + 190 |
0 |
1.2 u + 30 |
5 u |
100%+ 20% = 120%
120% x 4 u
=
120100 x 4 u
= 4.8 u
120% x 100
=
120100 x 100
= 120
70% x 4 u
=
70100 x 4 u
= 2.8 u
70% x 100
=
70100 x 100
= 70
If another 46 stickers are given to Fabian, he will have equal number of stickers and erasers in the end.
5 u = 1.2 u + 30 + 46
5 u - 1.2 u = 76
3.8 u = 76
1 u = 76 ÷ 3.8 = 20
Number of stickers that Yoko has at first
= 4.8 u + 120
= 4.8 x 20 + 120
= 96 + 120
= 216
Answer(s): 216