Pouch P contains 50-cent coins and Pouch Q contains 20-cent coins. There are 24 more coins in Pouch Q than in Pouch P. The amount of money in Pouch P is 30¢ more than the amount of money in Pouch Q. How many total coins are there?
| |
Pouch P |
Pouch Q |
| Number |
1 u |
1 u + 24 |
| Value |
50¢ |
20¢ |
| Total value |
50 u |
20 u + 480 |
Total value of 50¢ coins in Pouch P
= 50 x 1 u
= 50 u
Total value of 20¢ coins in Pouch Q
= 20 x (1 u + 24)
= 20 u + 480
The amount in Pouch P is 30¢ more than Pouch Q. If another 30¢ is added into Pouch Q, both Pouch P and Pouch Q will have the same amounts of money.
50 u = 20 u + 480 + 30
50 u - 20 u = 480 + 30
30 u = 510
1 u = 510 ÷ 30 = 17
Total number of coins
= 1 u + (1 u + 24)
= 2 u + 24
= 2 x 17 + 24
= 34 + 24
= 58
Answer(s): 58
