Tin Can F contains 20-cent coins and Tin Can G contains 5-cent coins. There are 21 more coins in Tin Can G than in Tin Can F. The amount of money in Tin Can F is 195¢ more than the amount of money in Tin Can G. How many total coins are there?
| |
Tin Can F |
Tin Can G |
| Number |
1 u |
1 u + 21 |
| Value |
20¢ |
5¢ |
| Total value |
20 u |
5 u + 105 |
Total value of 20¢ coins in Tin Can F
= 20 x 1 u
= 20 u
Total value of 5¢ coins in Tin Can G
= 5 x (1 u + 21)
= 5 u + 105
The amount in Tin Can F is 195¢ more than Tin Can G. If another 195¢ is added into Tin Can G, both Tin Can F and Tin Can G will have the same amounts of money.
20 u = 5 u + 105 + 195
20 u - 5 u = 105 + 195
15 u = 300
1 u = 300 ÷ 15 = 20
Total number of coins
= 1 u + (1 u + 21)
= 2 u + 21
= 2 x 20 + 21
= 40 + 21
= 61
Answer(s): 61
