Asher has 3 more 10-cent coins than 5-cent coins. After he used 17 of his 10-cent coins, the total value of 10-cent coins is $4.90 more than the total value of 5-cent coins. How many coins did he have at first?
|
10¢ |
5¢ |
Before |
1 u + 3 |
1 u |
Change |
- 17 |
|
After |
1 u - 14 |
1 u |
|
10¢ |
5¢ |
Number |
1 u - 14 |
1 u |
Value |
10 |
5 |
Total value |
10 u - 140 |
5 u |
$1 = 100¢
$4.90 = 490¢
Number of 10¢ coins in the end
= 1 u + 3 - 17
= 1 u - 14
Total value of 10¢ coins in the end
= 10 x (1 u - 14)
= 10 u - 140
Total value of 5¢ coins in the end
= 5 x 1 u
= 5 u
After using 17 10-cent coins, the value of 10-cent coins is 490¢ more than the value of 5-cent coins. If another 490¢ is added to the 5-cent coins, the total value of 10-cent coins and 5-cent coins will be the same.
10 u - 140 = 5 u + 490
10 u - 5 u = 490 + 140
5 u = 630
1 u = 630 ÷ 5 = 126
Number of coins that Asher had at first
= 1 u + 1 u + 3
= 2 u + 3
= (2 x 126) + 3
= 252 + 3
= 255
Answer(s): 255