Usha and Owen collect stickers and coins. Owen has 50 less stickers than coins. Owen has 4 times the number of stickers Usha has, and Usha has 30% more coins than Owen. After Usha gives Owen all of her stickers and Owen gives Usha 70% of his coins, Owen has 61 less coins than stickers. Find the number of coins Usha has at first.
Usha |
Owen |
Coins |
Stickers |
Coins |
Stickers |
5.2 u + 65 |
1 u |
4 u + 50 |
4 u |
+ 2.8 u + 35 |
- 1 u |
- 2.8 u - 35 |
+ 1 u |
8 u + 100 |
0 |
1.2 u + 15 |
5 u |
100%+ 30% = 130%
130% x 4 u
=
130100 x 4 u
= 5.2 u
130% x 50
=
130100 x 50
= 65
70% x 4 u
=
70100 x 4 u
= 2.8 u
70% x 50
=
70100 x 50
= 35
If another 61 coins are given to Owen, he will have equal number of coins and stickers in the end.
5 u = 1.2 u + 15 + 61
5 u - 1.2 u = 76
3.8 u = 76
1 u = 76 ÷ 3.8 = 20
Number of coins that Usha has at first
= 5.2 u + 65
= 5.2 x 20 + 65
= 104 + 65
= 169
Answer(s): 169