Pouch Q contains 50-cent coins and Pouch R contains 20-cent coins. There are 27 more coins in Pouch R than in Pouch Q. The amount of money in Pouch Q is 360¢ more than the amount of money in Pouch R. How many total coins are there?
| |
Pouch Q |
Pouch R |
| Number |
1 u |
1 u + 27 |
| Value |
50¢ |
20¢ |
| Total value |
50 u |
20 u + 540 |
Total value of 50¢ coins in Pouch Q
= 50 x 1 u
= 50 u
Total value of 20¢ coins in Pouch R
= 20 x (1 u + 27)
= 20 u + 540
The amount in Pouch Q is 360¢ more than Pouch R. If another 360¢ is added into Pouch R, both Pouch Q and Pouch R will have the same amounts of money.
50 u = 20 u + 540 + 360
50 u - 20 u = 540 + 360
30 u = 900
1 u = 900 ÷ 30 = 30
Total number of coins
= 1 u + (1 u + 27)
= 2 u + 27
= 2 x 30 + 27
= 60 + 27
= 87
Answer(s): 87
