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?

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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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