Question

read the problem.
70% of the magic tricks that jade knows are card tricks. if she knows 14 card tricks, how many magic tricks does jade know in all?
pick the model that represents the problem.
how many magic tricks does jade know in all?
magic tricks

Explanation:

Step1: Define the variable

Let \( x \) be the total number of magic tricks Jade knows.

Step2: Set up the equation

We know that 70% of \( x \) is equal to 14. In mathematical terms, this is \( 0.7x = 14 \).

Step3: Solve for \( x \)

To find \( x \), we divide both sides of the equation by 0.7: \( x=\frac{14}{0.7} \).
Calculating \( \frac{14}{0.7} \), we get \( x = 20 \).

For the model: The first model has 14 at 70% and? at 100%, which matches our problem (70% of total is 14, so total is 100%). The second model has 14 at 100% and? at 70%, which is incorrect. So the first model (the blue one) represents the problem.

Answer:

The model that represents the problem is the first one (with blue rectangles, 14 at 70% and? at 100%). Jade knows 20 magic tricks in all.