Question

read the story.
mitchell reads only mysteries and sports books. last year, he read 5 mysteries for every 2 sports books.
pick the diagram that models the ratio in the story.
two diagrams showing rectangles for mysteries and sports: first has 5 blue for mysteries, 2 yellow for sports; second has 5 blue for mysteries, 3 yellow for sports
if mitchell read 12 more mysteries than sports books, how many mysteries did he read?
blank mysteries

Explanation:

Step1: Identify the ratio

The ratio of mysteries to sports books is 5:2.

Step2: Define variables

Let mysteries = 5x, sports = 2x.

Step3: Set up the equation

5x - 2x = 12 → 3x = 12.

Step4: Solve for x

x = 12 ÷ 3 = 4.

Step5: Calculate mysteries

5x = 5×4 = 20.

for diagram selection:
The ratio of mysteries to sports books is 5:2. The top diagram has 5 blue blocks (mysteries) and 2 yellow blocks (sports), which matches the ratio.

Answer:

20