Bottle F contains 50-cent coins and Bottle G contains 5-cent coins. There are 14 more coins in Bottle G than in Bottle F. The amount of money in Bottle F is 1190¢ more than the amount of money in Bottle G. How many total coins are there?
| |
Bottle F |
Bottle G |
| Number |
1 u |
1 u + 14 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 70 |
Total value of 50¢ coins in Bottle F
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bottle G
= 5 x (1 u + 14)
= 5 u + 70
The amount in Bottle F is 1190¢ more than Bottle G. If another 1190¢ is added into Bottle G, both Bottle F and Bottle G will have the same amounts of money.
50 u = 5 u + 70 + 1190
50 u - 5 u = 70 + 1190
45 u = 1260
1 u = 1260 ÷ 45 = 28
Total number of coins
= 1 u + (1 u + 14)
= 2 u + 14
= 2 x 28 + 14
= 56 + 14
= 70
Answer(s): 70
