Respuesta :

Answer:

24 yards

Step-by-step explanation:

Given: 5 hours to mow 6 yards.

To find: At the same rate, how many yards can be mowed in 20 hours?

Solution: There are lots of different ways of solving this but I will show you setting up fractions to know how much 5 hours are for 6 yards let "x" be the variable

Step 1: Multiply all terms by the same value to eliminate fraction denominators

[tex]\frac{6}{5} = \frac{x}{20} \\\\20*\frac{6}{5} = 20 * \frac{x}{20}[/tex]

Step 2: Cancel multiplied terms that are in the denominator

[tex]20*\frac{6}{5} = 20 * \frac{x}{20}\\\\20 * \frac{6}{5} = x[/tex]

Step 3: Multiply the numbers

[tex]20 * \frac{6}{5} = x\\\\24 = x[/tex]

Step 4: Move the variable to the left

[tex]24 = x\\\\x = 24[/tex]

Therefore, 24 yards can be mowed in 20 hours.