Simon has 6 more 10-cent coins than 5-cent coins. After he used 18 of his 10-cent coins, the total value of 10-cent coins is $3.70 more than the total value of 5-cent coins. How many coins did he have in the end?
|
10¢ |
5¢ |
Before |
1 u + 6 |
1 u |
Change |
- 18 |
|
After |
1 u - 12 |
1 u |
|
10¢ |
5¢ |
Number |
1 u - 12 |
1 u |
Value |
10 |
5 |
Total value |
10 u - 120 |
5 u |
$1 = 100¢
$3.70 = 370¢
Number of 10¢ coins in the end
= 1 u + 6 - 18
= 1 u - 12
Total value of 10¢ coins in the end
= 10 x (1 u - 12)
= 10 u - 120
Total value of 5¢ coins in the end
= 5 x 1 u
= 5 u
After using 18 10-cent coins, the value of 10-cent coins is 370¢ more than the value of 5-cent coins. If another 370¢ is added to the 5-cent coins, the total value of 10-cent coins and 5-cent coins will be the same.
10 u - 120 = 5 u + 370
10 u - 5 u = 370 + 120
5 u = 490
1 u = 490 ÷ 5 = 98
Number of coins that Simon had in the end
= 1 u + 1 u - 12
= 2 u - 12
= (2 x 98) - 12
= 196 - 12
= 184
Answer(s): 184