Pouch D contains 50-cent coins and Pouch E contains 20-cent coins. There are 17 more coins in Pouch E than in Pouch D. The amount of money in Pouch D is 80¢ more than the amount of money in Pouch E. How many total coins are there?
| |
Pouch D |
Pouch E |
| Number |
1 u |
1 u + 17 |
| Value |
50¢ |
20¢ |
| Total value |
50 u |
20 u + 340 |
Total value of 50¢ coins in Pouch D
= 50 x 1 u
= 50 u
Total value of 20¢ coins in Pouch E
= 20 x (1 u + 17)
= 20 u + 340
The amount in Pouch D is 80¢ more than Pouch E. If another 80¢ is added into Pouch E, both Pouch D and Pouch E will have the same amounts of money.
50 u = 20 u + 340 + 80
50 u - 20 u = 340 + 80
30 u = 420
1 u = 420 ÷ 30 = 14
Total number of coins
= 1 u + (1 u + 17)
= 2 u + 17
= 2 x 14 + 17
= 28 + 17
= 45
Answer(s): 45
