Bag W contains 50-cent coins and Bag X contains 5-cent coins. There are 37 more coins in Bag X than in Bag W. The amount of money in Bag W is 895¢ more than the amount of money in Bag X. How many total coins are there?
| |
Bag W |
Bag X |
| Number |
1 u |
1 u + 37 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 185 |
Total value of 50¢ coins in Bag W
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bag X
= 5 x (1 u + 37)
= 5 u + 185
The amount in Bag W is 895¢ more than Bag X. If another 895¢ is added into Bag X, both Bag W and Bag X will have the same amounts of money.
50 u = 5 u + 185 + 895
50 u - 5 u = 185 + 895
45 u = 1080
1 u = 1080 ÷ 45 = 24
Total number of coins
= 1 u + (1 u + 37)
= 2 u + 37
= 2 x 24 + 37
= 48 + 37
= 85
Answer(s): 85
