Julie and Ben collect beads and pens. Ben has 60 less beads than pens. Ben has 2 times the number of beads Julie has, and Julie has 25% more pens than Ben. After Julie gives Ben all of her beads and Ben gives Julie 75% of his pens, Ben has 15 less pens than beads. Find the number of pens Julie has at first.
| Julie |
Ben |
| Pens |
Beads |
Pens |
Beads |
| 2.5 u + 75 |
1 u |
2 u + 60 |
2 u |
| + 1.5 u + 45 |
- 1 u |
- 1.5 u - 45 |
+ 1 u |
| 4 u + 120 |
0 |
0.5 u + 15 |
3 u |
100%+ 25% = 125%
125% x 2 u
=
125100 x 2 u
= 2.5 u
125% x 60
=
125100 x 60
= 75
75% x 2 u
=
75100 x 2 u
= 1.5 u
75% x 60
=
75100 x 60
= 45
If another 15 pens are given to Ben, he will have equal number of pens and beads in the end.
3 u = 0.5 u + 15 + 15
3 u - 0.5 u = 30
2.5 u = 30
1 u = 30 ÷ 2.5 = 12
Number of pens that Julie has at first
= 2.5 u + 75
= 2.5 x 12 + 75
= 30 + 75
= 105
Answer(s): 105 
