Seth has 8 more 20-cent coins than 10-cent coins. After he used 10 of his 20-cent coins, the total value of 20-cent coins is $4.30 more than the total value of 10-cent coins. How many coins did he have at first?
| |
20¢ |
10¢ |
| Before |
1 u + 8 |
1 u |
| Change |
- 10 |
|
| After |
1 u - 2 |
1 u |
| |
20¢ |
10¢ |
| Number |
1 u - 2 |
1 u |
| Value |
20 |
10 |
| Total value |
20 u - 40 |
10 u |
$1 = 100¢
$4.30 = 430¢
Number of 20¢ coins in the end
= 1 u + 8 - 10
= 1 u - 2
Total value of 20¢ coins in the end
= 20 x (1 u - 2)
= 20 u - 40
Total value of 10¢ coins in the end
= 10 x 1 u
= 10 u
After using 10 20-cent coins, the value of 20-cent coins is 430¢ more than the value of 10-cent coins. If another 430¢ is added to the 10-cent coins, the total value of 20-cent coins and 10-cent coins will be the same.
20 u - 40 = 10 u + 430
20 u - 10 u = 430 + 40
10 u = 470
1 u = 470 ÷ 10 = 47
Number of coins that Seth had at first
= 1 u + 1 u + 8
= 2 u + 8
= (2 x 47) + 8
= 94 + 8
= 102
Answer(s): 102
