The number of five-cent coins in a pouch was ¹₃ the number of twenty-cent coins. Caden took out 17 twenty-cent coins and exchanged them for five-cent coins. Then he put the money back into the pouch. The number of twenty-cent coins became ²₅ the number of five-cent coins. How much money was there in the pouch?

	Make u the same (1)x3 = (3)	5-cent (1)	20-cent (2)
Before	3 u	1 u	3 u
Change	+ 204	+ 68	- 17
After	15 p	5 p	2 p

Value of 20-cent coins to be exchanged to 5-cent coins
= 17 x 20
= 340

Number of 5-cent coins to be exchanged from the 20-cent coins
= 340 ÷ 5
= 68

(3) = (2)
15 p - 204 = 2 p + 17
15 p - 2 p = 17 + 204
13 p = 221

1 p = 221 ÷ 13 = 17

Number of 5-cent coins in the end
= 5 p
= 5 p x 17
= 85

Value of 5-cent coins in the end
= 85 x 5
= 425¢

Number of 20-cent coins in the end
= 2 p
= 2 x 17
= 34

Value of 20-cent coins in the end
= 34 x 20
= 680¢

Total value of coins
= 425 + 680
= 1105¢

$1 = 100¢
1105¢ = $11.05 

Answer(s): $11.05