Tin Can G contains 20-cent coins and Tin Can H contains 5-cent coins. There are 17 more coins in Tin Can H than in Tin Can G. The amount of money in Tin Can G is 260¢ more than the amount of money in Tin Can H. How many total coins are there?
| |
Tin Can G |
Tin Can H |
| Number |
1 u |
1 u + 17 |
| Value |
20¢ |
5¢ |
| Total value |
20 u |
5 u + 85 |
Total value of 20¢ coins in Tin Can G
= 20 x 1 u
= 20 u
Total value of 5¢ coins in Tin Can H
= 5 x (1 u + 17)
= 5 u + 85
The amount in Tin Can G is 260¢ more than Tin Can H. If another 260¢ is added into Tin Can H, both Tin Can G and Tin Can H will have the same amounts of money.
20 u = 5 u + 85 + 260
20 u - 5 u = 85 + 260
15 u = 345
1 u = 345 ÷ 15 = 23
Total number of coins
= 1 u + (1 u + 17)
= 2 u + 17
= 2 x 23 + 17
= 46 + 17
= 63
Answer(s): 63
