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Algebra
Question

1. Distance Problem: Erin just purchased a new car which gets 49 miles per gallon on highway roads and 45 miles per gallon on city roads. If, in a week, Erin used a total of 12 gallons of gas for a total of 560 miles, how many miles did she travel on highway roads and how many miles did she travel on city roads? 2. Mixture Problem: Nina works in the fragrance industry and was concocting a perfume. To get the scent just right, she needed to make a final volume of 2 Liters of a 22% solution made

Erin just purchased a new car which gets 49 miles per gallon on highway roads and 45 miles per gallon on city roads. If, in a week, Erin used a total of 12 gallons of gas for a total of 560 miles, how many miles did she travel on highway roads and how many miles did she travel on city roads?

let gas used on highways =x, and city =y

x+y=12

49x+45y=560

x=5 gallons

y=7 gallons

miles travelled on highways= 49(5)= 245 miles

miles travelled on city ways= 45(7)= 315 miles

Solution
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