Pouch D contains 50-cent coins and Pouch E contains 5-cent coins. There are 16 more coins in Pouch E than in Pouch D. The amount of money in Pouch D is 730¢ more than the amount of money in Pouch E. How many total coins are there?
| |
Pouch D |
Pouch E |
| Number |
1 u |
1 u + 16 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 80 |
Total value of 50¢ coins in Pouch D
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Pouch E
= 5 x (1 u + 16)
= 5 u + 80
The amount in Pouch D is 730¢ more than Pouch E. If another 730¢ is added into Pouch E, both Pouch D and Pouch E will have the same amounts of money.
50 u = 5 u + 80 + 730
50 u - 5 u = 80 + 730
45 u = 810
1 u = 810 ÷ 45 = 18
Total number of coins
= 1 u + (1 u + 16)
= 2 u + 16
= 2 x 18 + 16
= 36 + 16
= 52
Answer(s): 52
