Question

Pearl is tracking the number of minutes she reads each week. Pearl read 50 minutes last week. This week, she reads 75% more. How many minutes did Pearl read this week?
Set up the double number line to show that 50 minutes is 100%.
minutes
0
50
0%
100
%
You got it!
Which point shows 75% percent more on the double number line?
minutes
0
A
50
B
0
100%

A

B
Good work!
Write an equation to show how to find 75% more than 50.
minutes
0
50
?
0
100%

100% of 50

+

75% of 50
= ?
Great job!
Now use the distributive property to write this expression another way.
minutes
0
50
?
0
100%
100% of 50 + 75% of 50 = of 50

Answer 1

To find out how many minutes Pearl read this week, we can start with the information given:

1. Pearl read 50 minutes last week.
2. This week, she reads 75% more than that.

First, let's calculate 75% of 50:

\[
75\% \text{ of } 50 = 0.75 \times 50 = 37.5
\]

Now, we can find the total number of minutes Pearl read this week by adding this amount to the original 50 minutes:

\[
50 + 37.5 = 87.5
\]

So, Pearl read **87.5 minutes** this week.

Now, let's set up the equation as you requested:

**Equation to show how to find 75% more than 50:**

\[
100\% \text{ of } 50 + 75\% \text{ of } 50 = ?
\]

Substituting the values we calculated:

\[
50 + 37.5 = 87.5
\]

Next, we can also express the equation using the distributive property. Instead of writing it as two separate percentages of 50, we can combine them:

\[
100\% \text{ of } 50 + 75\% \text{ of } 50 = (100\% + 75\%) \text{ of } 50 = 175\% \text{ of } 50
\]

So, rewritten using the distributive property, it becomes:

\[
(100\% + 75\%) \text{ of } 50 = 175\% \text{ of } 50
\]

This means Pearl read **175% of 50**, which gives us the same total of **87.5 minutes** this week.