Usha and Ian collect pens and stickers. Ian has 60 less pens than stickers. Ian has 4 times the number of pens Usha has, and Usha has 20% more stickers than Ian. After Usha gives Ian all of her pens and Ian gives Usha 70% of his stickers, Ian has 1 more pens than stickers. Find the number of stickers Usha has at first.
Usha |
Ian |
Stickers |
Pens |
Stickers |
Pens |
4.8 u + 72 |
1 u |
4 u + 60 |
4 u |
+ 2.8 u + 42 |
- 1 u |
- 2.8 u - 42 |
+ 1 u |
7.6 u + 114 |
0 |
1.2 u + 18 |
5 u |
100%+ 20% = 120%
120% x 4 u
=
120100 x 4 u
= 4.8 u
120% x 60
=
120100 x 60
= 72
70% x 4 u
=
70100 x 4 u
= 2.8 u
70% x 60
=
70100 x 60
= 42
If another 1 stickers are given to Ian, he will have equal number of stickers and pens in the end.
5 u = 1.2 u + 18 + 1
5 u - 1.2 u = 19
3.8 u = 19
1 u = 19 ÷ 3.8 = 5
Number of stickers that Usha has at first
= 4.8 u + 72
= 4.8 x 5 + 72
= 24 + 72
= 96
Answer(s): 96