whenever we have an amount to be divided in ratios, we simply divide the total amount by the sum of those ratios and then distribute accordingly. In this case, let's divide 77.40 by (1+3+5) and then distribute accordingly to each chap.
![\bf \stackrel{Paul}{1}~~:~~\stackrel{Colin}{3}~~:~~\stackrel{Brian}{5}~\hfill \cfrac{77.40}{1+3+5}\implies 8.6 \\\\\\ \stackrel{Paul}{1\cdot 8.6}~~:~~\stackrel{Colin}{3\cdot 8.6}~~:~~\stackrel{Brian}{5\cdot 8.6}\qquad \implies \qquad \stackrel{Paul}{8.6}~~:~~\stackrel{Colin}{25.8}~~:~~\stackrel{Brian}{43} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{Brian get this much more than Paul}}{43-8.6\implies 34.4}~\hfill](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7BPaul%7D%7B1%7D~~%3A~~%5Cstackrel%7BColin%7D%7B3%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B5%7D~%5Chfill%20%5Ccfrac%7B77.40%7D%7B1%2B3%2B5%7D%5Cimplies%208.6%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7BPaul%7D%7B1%5Ccdot%208.6%7D~~%3A~~%5Cstackrel%7BColin%7D%7B3%5Ccdot%208.6%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B5%5Ccdot%208.6%7D%5Cqquad%20%5Cimplies%20%5Cqquad%20%5Cstackrel%7BPaul%7D%7B8.6%7D~~%3A~~%5Cstackrel%7BColin%7D%7B25.8%7D~~%3A~~%5Cstackrel%7BBrian%7D%7B43%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%20%5Cstackrel%7B%5Ctextit%7BBrian%20get%20this%20much%20more%20than%20Paul%7D%7D%7B43-8.6%5Cimplies%2034.4%7D~%5Chfill)
Hire firm:
200+0.50*1200 each month
200+600=800
lease truck:
350+480 each month
=830
so with contracting a firm instead of leasing trucks you would save 30$ each month or 30*12=360$ each year
For part A, The answer is that the car gets better gas mileage. We can see it from the graph that the number of gallons used is on the X axis, and the distance traveled using those number of gallons is on the Y axis. The easiest way to compare would be to look at the 1 gallon of gas. You can see that you can travel 25 miles on 1 gallon of gas. The truck on the other hand will get you 18 miles per gallon. Imagine putting 1 in for X, the Y value would be 18 if you did this. The graph just shows us a visual way of saying the same thing. To determine how much farther the car with a girl on 8 gallons of gas, you would just multiply 8 by 25 for the number of miles traveled by the car. You would multiply 8 by 18 to find the number of miles traveled for the truck. The answers are 200 miles for the car and 144 miles for the truck. 200-144=56 miles farther for the car.
