Nicole and Vincent collect stickers and erasers. Vincent has 70 less stickers than erasers. Vincent has 4 times the number of stickers Nicole has, and Nicole has 20% more erasers than Vincent. After Nicole gives Vincent all of her stickers and Vincent gives Nicole 60% of his erasers, Vincent has 6 less erasers than stickers. Find the number of erasers Nicole has at first.
Nicole |
Vincent |
Erasers |
Stickers |
Erasers |
Stickers |
4.8 u + 84 |
1 u |
4 u + 70 |
4 u |
+ 2.4 u + 42 |
- 1 u |
- 2.4 u - 42 |
+ 1 u |
7.2 u + 126 |
0 |
1.6 u + 28 |
5 u |
100%+ 20% = 120%
120% x 4 u
=
120100 x 4 u
= 4.8 u
120% x 70
=
120100 x 70
= 84
60% x 4 u
=
60100 x 4 u
= 2.4 u
60% x 70
=
60100 x 70
= 42
If another 6 erasers are given to Vincent, he will have equal number of erasers and stickers in the end.
5 u = 1.6 u + 28 + 6
5 u - 1.6 u = 34
3.4 u = 34
1 u = 34 ÷ 3.4 = 10
Number of erasers that Nicole has at first
= 4.8 u + 84
= 4.8 x 10 + 84
= 48 + 84
= 132
Answer(s): 132