Ivan has 5 more 20-cent coins than 10-cent coins. After he used 19 of his 20-cent coins, the total value of 20-cent coins is $2.80 more than the total value of 10-cent coins. How many coins did he have in the end?
|
20¢ |
10¢ |
Before |
1 u + 5 |
1 u |
Change |
- 19 |
|
After |
1 u - 14 |
1 u |
|
20¢ |
10¢ |
Number |
1 u - 14 |
1 u |
Value |
20 |
10 |
Total value |
20 u - 280 |
10 u |
$1 = 100¢
$2.80 = 280¢
Number of 20¢ coins in the end
= 1 u + 5 - 19
= 1 u - 14
Total value of 20¢ coins in the end
= 20 x (1 u - 14)
= 20 u - 280
Total value of 10¢ coins in the end
= 10 x 1 u
= 10 u
After using 19 20-cent coins, the value of 20-cent coins is 280¢ more than the value of 10-cent coins. If another 280¢ is added to the 10-cent coins, the total value of 20-cent coins and 10-cent coins will be the same.
20 u - 280 = 10 u + 280
20 u - 10 u = 280 + 280
10 u = 560
1 u = 560 ÷ 10 = 56
Number of coins that Ivan had in the end
= 1 u + 1 u - 14
= 2 u - 14
= (2 x 56) - 14
= 112 - 14
= 98
Answer(s): 98