Question

18 1 / 2 miles of highway 1-35 Is undergoing repairs. The construction workers repairs The construction workers repair 2 1⁄4 Miles of hideaway each week Approximately How many weeks will it take for the repairs to be completed

Answer 1

The exact amount of time would be 8 2/9 weeks, but if we are only counting full weeks, it would be finished in 9 weeks.

Explanation:

y = xm

18 1/2 = 2 1/4x Change both numbers into improper fractions

18 1/2 would be 37/2 The denominator (bottom number) stays 2. To get the top number you would (2 x 18) + 1 or 37. That makes 37/2 equivalent to 18 1/2.

Now do the same thing to 2 1/4. The bottom number stays the same. We get the top number (4 x 2) + 1 or 9. That makes 9/4 equivalent to 2 1/4.

We know have

37/2 = 9/4 x We can solve for x by multiplying both sides of the equation by 4/9

37/2(4/9) = (9/4)(4/9)x

148/18 = x If we divide both the top and the bottom by 2 we would get 74/9 = x If we divide 74 by 9 we get 8 2/9