The number of five-cent coins in a bag was
14 the number of ten-cent coins. Elijah took out 24 ten-cent coins and exchanged them for five-cent coins. Then he put the money back into the bag. The number of ten-cent coins became
25 the number of five-cent coins. How much money was there in the bag?
|
Make u the same (1)x4 = (3) |
5-cent (1) |
10-cent (2) |
Before |
4 u |
1 u |
4 u |
Change |
+ 192 |
+ 48 |
- 24 |
After |
20 p |
5 p |
2 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)
20 p - 192 = 2 p + 24
20 p - 2 p = 24 + 192
18 p = 216
1 p = 216 ÷ 18 = 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
= 2 p
= 2 x 12
= 24
Value of 10-cent coins in the end
= 24 x 10
= 240¢
Total value of coins
= 300 + 240
= 540¢
$1 = 100¢
540¢ = $5.40
Answer(s): $5.40