Tammy and Wesley collect pens and coins. Wesley has 60 less pens than coins. Wesley has 4 times the number of pens Tammy has, and Tammy has 20% more coins than Wesley. After Tammy gives Wesley all of her pens and Wesley gives Tammy 60% of his coins, Wesley has 10 less coins than pens. Find the number of coins Tammy has at first.
Tammy |
Wesley |
Coins |
Pens |
Coins |
Pens |
4.8 u + 72 |
1 u |
4 u + 60 |
4 u |
+ 2.4 u + 36 |
- 1 u |
- 2.4 u - 36 |
+ 1 u |
7.2 u + 108 |
0 |
1.6 u + 24 |
5 u |
100%+ 20% = 120%
120% x 4 u
=
120100 x 4 u
= 4.8 u
120% x 60
=
120100 x 60
= 72
60% x 4 u
=
60100 x 4 u
= 2.4 u
60% x 60
=
60100 x 60
= 36
If another 10 coins are given to Wesley, he will have equal number of coins and pens in the end.
5 u = 1.6 u + 24 + 10
5 u - 1.6 u = 34
3.4 u = 34
1 u = 34 ÷ 3.4 = 10
Number of coins that Tammy has at first
= 4.8 u + 72
= 4.8 x 10 + 72
= 48 + 72
= 120
Answer(s): 120