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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.
(diagrams: first diagram has 5 blue rectangles for mysteries and 2 yellow rectangles for sports; second diagram has 5 blue rectangles for mysteries and 3 yellow rectangles for sports)
if mitchell read 12 more mysteries than sports books, how many mysteries did he read?
mysteries
Step1: Define variables for the ratio
Let the number of mysteries be $5x$ and sports books be $2x$ (since ratio is 5:2).
Step2: Set up equation for the difference
Mysteries - Sports = 12: $5x - 2x = 12$
Step3: Solve for x
$3x = 12$ → $x = 4$
Step4: Calculate number of mysteries
$5x = 5×4 = 20$
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