Answer:
Both are located on railroad lines
the question asks for similarities between Denver and Cheyenne. If you look at the map, both have the dotted line along them. In the key, the dotted lines represent railroads.
Let Q = quarters and D = dimes
There are a total of 1202 coins, so we have to add the quarters and dimes together to get this.
Q + D = 1202
Quarters have a value of 25 cents or 0.25, dimes have a value of 10 cents or 0.10. The combination of the amount of quarters and their respective value and the amount of dimes and their respective value equate to $123.50.
0.25Q + 0.10D = 123.50
Put the two equations together. Your system of equations is:
Q + D = 1202
0.25Q + 0.10D = 123.50
The most important part of the problem lies in the fact that the hours have to be converted to minutes before starting to solve the problem.
1 hour = 60 minutes
6 and half hours = (6 * 60) + 30 minutes
= 360 + 30
= 390 minutes
So the payment for 390 minutes is = 78 dollars
Then
The payment for 60 minutes = (78/390) * 60
= 2 * 6 dollars
= 12 dollars
So the rate of pay given is $12 per hour. I hope the procedure is easy enough for you to understand. You can always use this method for solving similar type of problems.