Question

It took 5 hours to mow 6 yards. at the rate, how many yards can be mowed in 20 hours

Answer 1

24 yards

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

`(6)/(5) = (x)/(20) \\\\20*(6)/(5) = 20 * (x)/(20)`

Step 2: Cancel multiplied terms that are in the denominator

`20*(6)/(5) = 20 * (x)/(20)\\\\20 * (6)/(5) = x`

Step 3: Multiply the numbers

`20 * (6)/(5) = x\\\\24 = x`

Step 4: Move the variable to the left

`24 = x\\\\x = 24`

Therefore, 24 yards can be mowed in 20 hours.