Jen and Zane collect cards and stickers. Zane has 50 more stickers than cards. Zane has 5 times the number of cards Jen has, and Jen has 30% more stickers than Zane. After Jen gives Zane all of her cards and Zane gives Jen 60% of his stickers, Zane has 20 more cards than stickers. Find the number of stickers Jen has at first.
Jen |
Zane |
Stickers |
Cards |
Stickers |
Cards |
6.5 u + 65 |
1 u |
5 u + 50 |
5 u |
+ 3 u + 30 |
- 1 u |
- 3 u - 30 |
+ 1 u |
9.5 u + 95 |
0 |
2 u + 20 |
6 u |
100% + 30% = 130%
130% x 5 u
=
130100 x 5 u
= 6.5 u
130% x 50
=
130100 x 50
= 65
60% x 5 u
=
60100 x 5 u
= 3 u
60% x 50
=
60100 x 50
= 30
If another 20 stickers are given to Zane, he will have equal number of stickers and cards in the end.
6 u = 2 u + 20 + 20
6 u - 2 u = 40
4 u = 40
1 u = 40 ÷ 4 = 10
Number of stickers that Jen has at first
= 6.5 u + 65
= 6.5 x 10 + 65
= 65 + 65
= 130
Answer(s): 130