Caden has 7 more 20-cent coins than 10-cent coins. After he used 12 of his 20-cent coins, the total value of 20-cent coins is $1.20 more than the total value of 10-cent coins. How many coins did he have in the end?
|
20¢ |
10¢ |
Before |
1 u + 7 |
1 u |
Change |
- 12 |
|
After |
1 u - 5 |
1 u |
|
20¢ |
10¢ |
Number |
1 u - 5 |
1 u |
Value |
20 |
10 |
Total value |
20 u - 100 |
10 u |
$1 = 100¢
$1.20 = 120¢
Number of 20¢ coins in the end
= 1 u + 7 - 12
= 1 u - 5
Total value of 20¢ coins in the end
= 20 x (1 u - 5)
= 20 u - 100
Total value of 10¢ coins in the end
= 10 x 1 u
= 10 u
After using 12 20-cent coins, the value of 20-cent coins is 120¢ more than the value of 10-cent coins. If another 120¢ is added to the 10-cent coins, the total value of 20-cent coins and 10-cent coins will be the same.
20 u - 100 = 10 u + 120
20 u - 10 u = 120 + 100
10 u = 220
1 u = 220 ÷ 10 = 22
Number of coins that Caden had in the end
= 1 u + 1 u - 5
= 2 u - 5
= (2 x 22) - 5
= 44 - 5
= 39
Answer(s): 39