Bottle T contains 50-cent coins and Bottle U contains 10-cent coins. There are 19 more coins in Bottle U than in Bottle T. The amount of money in Bottle T is 250¢ more than the amount of money in Bottle U. How many total coins are there?
| |
Bottle T |
Bottle U |
| Number |
1 u |
1 u + 19 |
| Value |
50¢ |
10¢ |
| Total value |
50 u |
10 u + 190 |
Total value of 50¢ coins in Bottle T
= 50 x 1 u
= 50 u
Total value of 10¢ coins in Bottle U
= 10 x (1 u + 19)
= 10 u + 190
The amount in Bottle T is 250¢ more than Bottle U. If another 250¢ is added into Bottle U, both Bottle T and Bottle U will have the same amounts of money.
50 u = 10 u + 190 + 250
50 u - 10 u = 190 + 250
40 u = 440
1 u = 440 ÷ 40 = 11
Total number of coins
= 1 u + (1 u + 19)
= 2 u + 19
= 2 x 11 + 19
= 22 + 19
= 41
Answer(s): 41
