Bottle Z contains 50-cent coins and Bottle A contains 5-cent coins. There are 38 more coins in Bottle A than in Bottle Z. The amount of money in Bottle Z is 1160¢ more than the amount of money in Bottle A. How many total coins are there?
| |
Bottle Z |
Bottle A |
| Number |
1 u |
1 u + 38 |
| Value |
50¢ |
5¢ |
| Total value |
50 u |
5 u + 190 |
Total value of 50¢ coins in Bottle Z
= 50 x 1 u
= 50 u
Total value of 5¢ coins in Bottle A
= 5 x (1 u + 38)
= 5 u + 190
The amount in Bottle Z is 1160¢ more than Bottle A. If another 1160¢ is added into Bottle A, both Bottle Z and Bottle A will have the same amounts of money.
50 u = 5 u + 190 + 1160
50 u - 5 u = 190 + 1160
45 u = 1350
1 u = 1350 ÷ 45 = 30
Total number of coins
= 1 u + (1 u + 38)
= 2 u + 38
= 2 x 30 + 38
= 60 + 38
= 98
Answer(s): 98
