Annie and Betty baked some cupcakes. 2/7 of the the number of Annie’s cupcakes was equal to 3/4 of the number of Betty’s cupcakes at first. After Annie sold 12 cupcakes and Betty baked another 10 cupcakes, the ratio of the number of Annie’s cupcakes to the number of Betty’s cupcakes became 3:2. What was the total number of cupcakes both of them baked at first?

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter3: Math Models
Section3.3: Solve Mixture Applications
Problem 3.57TI: The first day of a water polo tournament the total value of tickets sold was $17,610. One-day passes...
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Annie and Betty baked some cupcakes. 2/7 of the the number of Annie’s cupcakes was equal to 3/4 of the number of Betty’s cupcakes at first. After Annie sold 12 cupcakes and Betty baked another 10 cupcakes, the ratio of the number of Annie’s cupcakes to the number of Betty’s cupcakes became 3:2. What was the total number of cupcakes both of them baked at first?
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