Respuesta :
Car 1 consumes 30 gallons of gas and car 2 consumes 20 gallons of gas.
Given that, a family has two cars the first car has an efficiency of 20 miles per gallon of gas in the second has a fuel efficiency and 40 miles per gallon of gas. During one particular week two cars with a total of 1500 miles, for total gas consumption of 45 gallons.
We need to find how many gallons were consumed by each of the two cars that week.
What is an equation?
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let x = gallons consumed by car 1
Let y = gallons consumed by car 2
We set up our equations:
35x+40y = 1850--------(I)
x+y = 50--------(II)
Substituting equation II into equation I
35x+40(50-x) = 1850
⇒35x+2000-40x = 1850
⇒-5x+2000 = 1850
⇒-5x = -150
⇒x = 30
Substitute the value of x into equation II
x+y = 50
⇒30+y = 50
⇒y = 20
Therefore, car 1 consumes 30 gallons of gas and car 2 consumes 20 gallons of gas.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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