Hazel and Vaidev collect coins and stickers. Vaidev has 56 more stickers than coins. Vaidev has 2 times the number of coins Hazel has, and Hazel has 25% more stickers than Vaidev. After Hazel gives Vaidev all of her coins and Vaidev gives Hazel 75% of his stickers, Vaidev has 16 more coins than stickers. Find the number of stickers Hazel has at first.
Hazel |
Vaidev |
Stickers |
Coins |
Stickers |
Coins |
2.5 u + 70 |
1 u |
2 u + 56 |
2 u |
+ 1.5 u + 42 |
- 1 u |
- 1.5 u - 42 |
+ 1 u |
4 u + 112 |
0 |
0.5 u + 14 |
3 u |
100% + 25% = 125%
125% x 2 u
=
125100 x 2 u
= 2.5 u
125% x 56
=
125100 x 56
= 70
75% x 2 u
=
75100 x 2 u
= 1.5 u
75% x 56
=
75100 x 56
= 42
If another 16 stickers are given to Vaidev, he will have equal number of stickers and coins in the end.
3 u = 0.5 u + 14 + 16
3 u - 0.5 u = 30
2.5 u = 30
1 u = 30 ÷ 2.5 = 12
Number of stickers that Hazel has at first
= 2.5 u + 70
= 2.5 x 12 + 70
= 30 + 70
= 100
Answer(s): 100