Wesley has 2 more 20-cent coins than 5-cent coins. After he used 20 of his 20-cent coins, the total value of 20-cent coins is $2.40 more than the total value of 5-cent coins. How many coins did he have at first?
|
20¢ |
5¢ |
Before |
1 u + 2 |
1 u |
Change |
- 20 |
|
After |
1 u - 18 |
1 u |
|
20¢ |
5¢ |
Number |
1 u - 18 |
1 u |
Value |
20 |
5 |
Total value |
20 u - 360 |
5 u |
$1 = 100¢
$2.40 = 240¢
Number of 20¢ coins in the end
= 1 u + 2 - 20
= 1 u - 18
Total value of 20¢ coins in the end
= 20 x (1 u - 18)
= 20 u - 360
Total value of 5¢ coins in the end
= 5 x 1 u
= 5 u
After using 20 20-cent coins, the value of 20-cent coins is 240¢ more than the value of 5-cent coins. If another 240¢ is added to the 5-cent coins, the total value of 20-cent coins and 5-cent coins will be the same.
20 u - 360 = 5 u + 240
20 u - 5 u = 240 + 360
15 u = 600
1 u = 600 ÷ 15 = 40
Number of coins that Wesley had at first
= 1 u + 1 u + 2
= 2 u + 2
= (2 x 40) + 2
= 80 + 2
= 82
Answer(s): 82