Tin Can T contains only 50-cent coins and Tin Can U contains only 10-cent coins. There are 19 more coins in Tin Can U than in Tin Can T. The amount of money in Tin Can T is $2.10 more than the amount of money in Tin Can U. Find the total amount of money in both tin cans.
| |
Tin Can T |
Tin Can U |
| Number |
1 u |
1 u + 19 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 190 |
$1 = 100¢
$2.10 = 210¢
Total value of 50¢ coins in Tin Can T
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Tin Can U
= 10(1 u + 19)
= 10 u + 190
The amount of money in Tin Can T is $2.10 more than the amount of money in Tin Can U. If another 210¢ is added into Tin Can U, the total value of coins in Tin Can T and Tin Can U will be the same.
50 u = 10 u + 190 + 210
50 u - 10 u = 400
40 u = 400
1 u = 400 ÷ 40 = 10
Total amount in both tin cans
= 50 u + (10 u + 190)
= 60 u + 190
= (60 x 10) + 190
= 600 + 190
= 790¢
790¢ = $7.90
Answer(s): $7.90
