Ethan has 5 more 10-cent coins than 5-cent coins. After he used 19 of his 10-cent coins, the total value of 10-cent coins is $3.10 more than the total value of 5-cent coins. How many coins did he have in the end?
|
10¢ |
5¢ |
Before |
1 u + 5 |
1 u |
Change |
- 19 |
|
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¢
$3.10 = 310¢
Number of 10¢ coins in the end
= 1 u + 5 - 19
= 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 19 10-cent coins, the value of 10-cent coins is 310¢ more than the value of 5-cent coins. If another 310¢ 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 + 310
10 u - 5 u = 310 + 140
5 u = 450
1 u = 450 ÷ 5 = 90
Number of coins that Ethan had in the end
= 1 u + 1 u - 14
= 2 u - 14
= (2 x 90) - 14
= 180 - 14
= 166
Answer(s): 166