Rael has 5 more 50-cent coins than 5-cent coins. After he used 17 of his 50-cent coins, the total value of 50-cent coins is $4.80 more than the total value of 5-cent coins. How many coins did he have in the end?
|
50¢ |
5¢ |
Before |
1 u + 5 |
1 u |
Change |
- 17 |
|
After |
1 u - 12 |
1 u |
|
50¢ |
5¢ |
Number |
1 u - 12 |
1 u |
Value |
50 |
5 |
Total value |
50 u - 600 |
5 u |
$1 = 100¢
$4.80 = 480¢
Number of 50¢ coins in the end
= 1 u + 5 - 17
= 1 u - 12
Total value of 50¢ coins in the end
= 50 x (1 u - 12)
= 50 u - 600
Total value of 5¢ coins in the end
= 5 x 1 u
= 5 u
After using 17 50-cent coins, the value of 50-cent coins is 480¢ more than the value of 5-cent coins. If another 480¢ is added to the 5-cent coins, the total value of 50-cent coins and 5-cent coins will be the same.
50 u - 600 = 5 u + 480
50 u - 5 u = 480 + 600
45 u = 1080
1 u = 1080 ÷ 45 = 24
Number of coins that Rael had in the end
= 1 u + 1 u - 12
= 2 u - 12
= (2 x 24) - 12
= 48 - 12
= 36
Answer(s): 36