The number of five-cent coins in a jar was ¹₅ the number of ten-cent coins. Caden took out 24 ten-cent coins and exchanged them for five-cent coins. Then he put the money back into the jar. The number of ten-cent coins became ³₅ the number of five-cent coins. How much money was there in the jar?

	Make u the same (1)x5 = (3)	5-cent (1)	10-cent (2)
Before	5 u	1 u	5 u
Change	+ 240	+ 48	- 24
After	25 p	5 p	3 p

Value of 10-cent coins to be exchanged to 5-cent coins
= 24 x 10
= 240

Number of 5-cent coins to be exchanged from the 10-cent coins
= 240 ÷ 5
= 48

(3) = (2)
25 p - 240 = 3 p + 24
25 p - 3 p = 24 + 240
22 p = 264

1 p = 264 ÷ 22 = 12

Number of 5-cent coins in the end
= 5 p
= 5 p x 12
= 60

Value of 5-cent coins in the end
= 60 x 5
= 300¢

Number of 10-cent coins in the end
= 3 p
= 3 x 12
= 36

Value of 10-cent coins in the end
= 36 x 10
= 360¢

Total value of coins
= 300 + 360
= 660¢

$1 = 100¢
660¢ = $6.60 

Answer(s): $6.60