Tom has 2 more 50-cent coins than 5-cent coins. After he used 15 of his 50-cent coins, the total value of 50-cent coins is $4.30 more than the total value of 5-cent coins. How many coins did he have at first?

	50¢	5¢
Before	1 u + 2	1 u
Change	- 15
After	1 u - 13	1 u

	50¢	5¢
Number	1 u - 13	1 u
Value	50	5
Total value	50 u - 650	5 u

$1 = 100¢
$4.30 = 430¢

Number of 50¢ coins in the end
= 1 u + 2 - 15
= 1 u - 13

Total value of 50¢ coins in the end
= 50 x (1 u - 13)
= 50 u - 650

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

After using 15 50-cent coins, the value of 50-cent coins is 430¢ more than the value of 5-cent coins. If another 430¢ is added to the 5-cent coins, the total value of 50-cent coins and 5-cent coins will be the same.

50 u - 650 = 5 u + 430
50 u - 5 u = 430 + 650
45 u = 1080

1 u = 1080 ÷ 45 = 24

Number of coins that Tom had at first
= 1 u + 1 u + 2
= 2 u + 2
= (2 x 24) + 2
= 48 + 2
= 50

Answer(s): 50