Tin Can F contains 20-cent coins and Tin Can G contains 10-cent coins. There are 14 more coins in Tin Can G than in Tin Can F. The amount of money in Tin Can F is 70¢ 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 + 14 |
Value |
20¢ |
10¢ |
Total value |
20 u |
10 u + 140 |
Total value of 20¢ coins in Tin Can F
= 20 x 1 u
= 20 u
Total value of 10¢ coins in Tin Can G
= 10 x (1 u + 14)
= 10 u + 140
The amount in Tin Can F is 70¢ more than Tin Can G. If another 70¢ is added into Tin Can G, both Tin Can F and Tin Can G will have the same amounts of money.
20 u = 10 u + 140 + 70
20 u - 10 u = 140 + 70
10 u = 210
1 u = 210 ÷ 10 = 21
Total number of coins
= 1 u + (1 u + 14)
= 2 u + 14
= 2 x 21 + 14
= 42 + 14
= 56
Answer(s): 56