Jane's car will go 420 miles on 17.5 gallons of gasoline in highway driving.
a) how many gallons will it take to drive 2427 miles from her house to a friend's house?
b) how far can the car be driven on 138 gallons of gasoline?

a) 101.125 gallons.

b) 3312 miles.

Step-by-step explanation:

You know that Jane's car will go 420 miles on 17.5 gallons of gasoline in highway driving, therefore:

a) You can calculate the number of gallons  it will take to drive 2427 miles from her house to a friend's house as following:

b) You can calculate the distance  the car can be driven on 138 gallons of gasoline as shown below:

step-by-step explanation:

the ratio of red paint to blue paint is always 9/7. that means that, whatever x's value, (4x+12)/(4x-4) has that same ratio. so, set up an equation and cross-multiply to solve for x:

9/7 = (4x+12)/(4x-4)

9(4x-4) = 7(4x+12)

36x - 36 = 28x + 84

8x - 36 = 84

8x = 120

x = 15