Mrs. Larson gave some sweets and cookies to Chad and Dorothy. Each of them took half of each food item. Chad ate 18 sweets and gave half of his remaining sweets to Dorothy. Dorothy ate 28 cookies and gave 1/3 of her remaining cookies to Chad. In the end, the ratio of the number sweets Chad had to the number of sweets Dorothy had was 2:15. The ratio of the number of cookies Chad had to the number of cookies Dorothy had was 15:4. How many sweets and cookies did each of them have 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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Mrs. Larson gave some sweets and cookies to Chad and Dorothy. Each of them took half of each food item. Chad ate 18 sweets and gave half of his remaining sweets to Dorothy. Dorothy ate 28 cookies and gave 1/3 of her remaining cookies to Chad. In the end, the ratio of the number sweets Chad had to the number of sweets Dorothy had was 2:15. The ratio of the number of cookies Chad had to the number of cookies Dorothy had was 15:4. How many sweets and cookies did each of them have at first?
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