Question

® 5.3K Mathematics - Grade 5 Check for Understanding, Unit 4: Add and Subtract Positive Rational Numbers 4. Karen jogged 4 miles on Wednesday. On Friday, Karen jogged 3.5 miles. Karen jogged 2 fewer miles on Saturday than she jogged on Wednesday. Write an equation that can be used to calculate how many more miles Karen jogged on Wednesday and Saturday than on Friday, How much farther did Karen run on Wednesday and Saturday than on Friday? Equation: Actual Distance:

Answer 1

You know that:

- The distance Karen jogged on Wednesday was:

`4(3)/(4)mi`

- The distance she jogged on Friday was:

`3.5mi`

Knowing that she jogged 2 fewer miles on Saturday than she jogged on Wednesday, you can determine that the distance she jogged on Saturday was:

`4(3)/(4)mi-2mi`

To solve the subtraction, you can convert the Mixed number to a Decimal number by dividing the numerator by the denominator and adding the result to the Whole number part:

`4+0.75=4.75`

Then, the distance she jogged on Saturday is:

`4.75mi-2mi=2.75mi`

Knowing that value, you can set up the following equation that can be used to calculate how many more miles Karen jogged on Wednesday and Saturday than on Friday:

`x=4.75+2.75-3.5`

Where "x" represents how many more miles Karen jogged on Wednesday and Saturday than on Friday:

To find how much farther did Karen run on Wednesday and Saturday than on Friday, you have to add the numbers:

`\begin{gathered} x=6.75-3.5 \\ x=3.25 \end{gathered}`

Therefore, the answers are: