Risa and Jeremy collect pens and coins. Jeremy has 64 more coins than pens. Jeremy has 5 times the number of pens Risa has, and Risa has 25% more coins than Jeremy. After Risa gives Jeremy all of her pens and Jeremy gives Risa 75% of his coins, Jeremy has 60 more pens than coins. Find the number of coins Risa has at first.
Risa |
Jeremy |
Coins |
Pens |
Coins |
Pens |
6.25 u + 80 |
1 u |
5 u + 64 |
5 u |
+ 3.75 u + 48 |
- 1 u |
- 3.75 u - 48 |
+ 1 u |
10 u + 128 |
0 |
1.25 u + 16 |
6 u |
100% + 25% = 125%
125% x 5 u
=
125100 x 5 u
= 6.25 u
125% x 64
=
125100 x 64
= 80
75% x 5 u
=
75100 x 5 u
= 3.75 u
75% x 64
=
75100 x 64
= 48
If another 60 coins are given to Jeremy, he will have equal number of coins and pens in the end.
6 u = 1.25 u + 16 + 60
6 u - 1.25 u = 76
4.75 u = 76
1 u = 76 ÷ 4.75 = 16
Number of coins that Risa has at first
= 6.25 u + 80
= 6.25 x 16 + 80
= 100 + 80
= 180
Answer(s): 180