Problema Solution

janice has 6 gal of pain to cover 2380 ft^2 of fencing. one gal will cover 470 ft^2 with one coat and 250 ft^2 with two coats. if she used all the paint, how many square feet received one coat and how many received one coat and how many received two coats?

Answer provided by our tutors

let 'x' represent the number of gallons used to apply 1 coat, then '6-x' represents the number of gallons used to apply 2 coats


2380 = 470x + 250(6-x)

solving for 'x' we have x=4


6-x = 2


4*470 = 1880

2*250 = 500


500ft^2 received two coats, 1880ft^2 received one coat