Bottle G contains 50-cent coins and Bottle H contains 5-cent coins. There are 11 more coins in Bottle H than in Bottle G. The amount of money in Bottle G is 1295¢ more than the amount of money in Bottle H. How many total coins are there?
| |
Bottle G |
Bottle H |
| Number |
1 u |
1 u + 11 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 55 |
Total value of 50¢ coins in Bottle G
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bottle H
= 5 x (1 u + 11)
= 5 u + 55
The amount in Bottle G is 1295¢ more than Bottle H. If another 1295¢ is added into Bottle H, both Bottle G and Bottle H will have the same amounts of money.
50 u = 5 u + 55 + 1295
50 u - 5 u = 55 + 1295
45 u = 1350
1 u = 1350 ÷ 45 = 30
Total number of coins
= 1 u + (1 u + 11)
= 2 u + 11
= 2 x 30 + 11
= 60 + 11
= 71
Answer(s): 71
