Nick has 6 more 20-cent coins than 5-cent coins. After he used 20 of his 20-cent coins, the total value of 20-cent coins is $2.90 more than the total value of 5-cent coins. How many coins did he have in the end?

	20¢	5¢
Before	1 u + 6	1 u
Change	- 20
After	1 u - 14	1 u

	20¢	5¢
Number	1 u - 14	1 u
Value	20	5
Total value	20 u - 280	5 u

$1 = 100¢
$2.90 = 290¢

Number of 20¢ coins in the end
= 1 u + 6 - 20
= 1 u - 14

Total value of 20¢ coins in the end
= 20 x (1 u - 14)
= 20 u - 280

Total value of 5¢ coins in the end
= 5 x 1 u
= 5 u

After using 20 20-cent coins, the value of 20-cent coins is 290¢ more than the value of 5-cent coins. If another 290¢ is added to the 5-cent coins, the total value of 20-cent coins and 5-cent coins will be the same.

20 u - 280 = 5 u + 290
20 u - 5 u = 290 + 280
15 u = 570

1 u = 570 ÷ 15 = 38

Number of coins that Nick had in the end
= 1 u + 1 u - 14
= 2 u - 14
= (2 x 38) - 14
= 76 - 14
= 62

Answer(s): 62