The length of a new rectangular playing field is 8 yards longer than quadruple the width. if the perimeter is 466 yards, what are the dimensions?
w =
l=

perimeter = 2L + 2W

L=4W+8

466=2(4W+8)+2W

466 = 8W + 16 +2W

466=10W+16

450=10W

W=45

L = 4W+8 = 4*45+8 = 188

2*188 + 2*45 = 466

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.