Bottle Y contains 50-cent coins and Bottle Z contains 20-cent coins. There are 37 more coins in Bottle Z than in Bottle Y. The amount of money in Bottle Y is 160¢ more than the amount of money in Bottle Z. How many total coins are there?
| |
Bottle Y |
Bottle Z |
| Number |
1 u |
1 u + 37 |
| Value |
50¢ |
20¢ |
| Total value |
50 u |
20 u + 740 |
Total value of 50¢ coins in Bottle Y
= 50 x 1 u
= 50 u
Total value of 20¢ coins in Bottle Z
= 20 x (1 u + 37)
= 20 u + 740
The amount in Bottle Y is 160¢ more than Bottle Z. If another 160¢ is added into Bottle Z, both Bottle Y and Bottle Z will have the same amounts of money.
50 u = 20 u + 740 + 160
50 u - 20 u = 740 + 160
30 u = 900
1 u = 900 ÷ 30 = 30
Total number of coins
= 1 u + (1 u + 37)
= 2 u + 37
= 2 x 30 + 37
= 60 + 37
= 97
Answer(s): 97
