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If car One has a fuel efficiency of 30 miles per gallon and car two has a fuel efficiency of 40 miles per gallon. The total amount of gas consumed is 55 gallons and in total, the two cars went 2050 miles. How many gallons were consumed by each car

Sagot :

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.
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