Word Problem

Question

The top walking deck of a sail boat is 20 2/3
feet long. This is only 7/9 of the length of the boat. How long is the boat?

Answer 1

Let x = length of the boat.

Then set up the following sentence:

20 2/3 is 7/9 of x.

Next turn into equation and change the numbers into improper fractions.

62/3 = 7/9 * x.

Next solve for x.

62/3 * 9/7 = 7/9 * 9/7 * x.

Factor out a 3 from numerator and denominator on the left side of equation and simplify right side of equation.

62/1 * 3/7 = 1 * x.

Simplify.

186/7 = x.

Change the improper fraction to a mixed number.

26 2/7 = x.

The length of the boat is 26 2/7 feet.