A family has two cars. During one particular week, the first car consumed 30 gallons of gas and the second consumed 40 gallons of gas. The two cars drove a combined total of 1600 miles, and the sum of their fuel efficiencies was 45 miles per gallon. What were the fuel efficiencies of each of the cars that week?

If the fuel efficiencies of each of the cars that week is  20 gallons of gas and  25 gallons of gas.How to find the efficiencies?Let x represent the gallons consumed by car 1Let y represent gallons consumed by car 2 Formulate an equation: 30x+40y = 1600      equation 1x+y = 45                equation 2 Substituting equation  2 into equation 1, 30x+40(45-x) = 160030x+ 1800-40x = 1600-10x+1800 = 1600-10x = -200Divide both side by -10xx = -200/-10   x = 20 Substitute value of x into equation 2 x+y = 4520+y = 45      y = 25Hence, Car 1 consumes 20 gallons of gas and Car 2 consumes 25 gallons of gas. Learn more about efficiencies here: https://brainly.com/question/12441334#SPJ1