The number of five-cent coins in a jar was ¹₄ the number of twenty-cent coins. Bobby took out 18 twenty-cent coins and exchanged them for five-cent coins. Then he put the money back into the jar. The number of twenty-cent coins became ³₅ the number of five-cent coins. How much money was there in the jar?

	Make u the same (1)x4 = (3)	5-cent (1)	20-cent (2)
Before	4 u	1 u	4 u
Change	+ 288	+ 72	- 18
After	20 p	5 p	3 p

Value of 20-cent coins to be exchanged to 5-cent coins
= 18 x 20
= 360

Number of 5-cent coins to be exchanged from the 20-cent coins
= 360 ÷ 5
= 72

(3) = (2)
20 p - 288 = 3 p + 18
20 p - 3 p = 18 + 288
17 p = 306

1 p = 306 ÷ 17 = 18

Number of 5-cent coins in the end
= 5 p
= 5 p x 18
= 90

Value of 5-cent coins in the end
= 90 x 5
= 450¢

Number of 20-cent coins in the end
= 3 p
= 3 x 18
= 54

Value of 20-cent coins in the end
= 54 x 20
= 1080¢

Total value of coins
= 450 + 1080
= 1530¢

$1 = 100¢
1530¢ = $15.30 

Answer(s): $15.30