To find out how many gallons each car consumed, we can set up a system of equations based on the information given.
Let x be the number of gallons consumed by car One and y be the number of gallons consumed by car
Two.
From the information provided, we know that:
1. Car One has a fuel efficiency of 30 miles per gallon, so car One traveled x miles.
2. Car Two has a fuel efficiency of 40 miles per gallon, so car Two traveled y miles.
3. The total amount of gas consumed
is 55 gallons, so x + y = 55.
4. In total, the two cars went 2050
miles, so x + y = 2050.
Now we can solve this system of equations to find the values of x and y.
Using the substitution method:
x = 2050 - y.
Now substitute x in the first equation:
2050 - y + y = 55.
2050 = 55 + y.
y = 2050 - 55.
y = 1995.
So, car Two consumed 1995 gallons of gas.
Now, substitute y back into x = 2050
- y to find x:
x = 2050 - 1995.
x = 55.
Therefore, car One consumed 55 gallons of gas.
In conclusion, car One consumed 55 gallons and car Two consumed 1995 gallons.
