Albert has 4 more 20-cent coins than 10-cent coins. After he used 14 of his 20-cent coins, the total value of 20-cent coins is $3.40 more than the total value of 10-cent coins. How many coins did he have in the end?
|
20¢ |
10¢ |
Before |
1 u + 4 |
1 u |
Change |
- 14 |
|
After |
1 u - 10 |
1 u |
|
20¢ |
10¢ |
Number |
1 u - 10 |
1 u |
Value |
20 |
10 |
Total value |
20 u - 200 |
10 u |
$1 = 100¢
$3.40 = 340¢
Number of 20¢ coins in the end
= 1 u + 4 - 14
= 1 u - 10
Total value of 20¢ coins in the end
= 20 x (1 u - 10)
= 20 u - 200
Total value of 10¢ coins in the end
= 10 x 1 u
= 10 u
After using 14 20-cent coins, the value of 20-cent coins is 340¢ more than the value of 10-cent coins. If another 340¢ is added to the 10-cent coins, the total value of 20-cent coins and 10-cent coins will be the same.
20 u - 200 = 10 u + 340
20 u - 10 u = 340 + 200
10 u = 540
1 u = 540 ÷ 10 = 54
Number of coins that Albert had in the end
= 1 u + 1 u - 10
= 2 u - 10
= (2 x 54) - 10
= 108 - 10
= 98
Answer(s): 98