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Each marble bag sold by Chang's Marble Company contains 7 yellow marbles for every 5 green marbles. If a bag has 35 yellow marbles, how many green marbles does it contain? green marbles S

Each marble bag sold by Chang's Marble Company contains 7 yellow marbles for every 5 green marbles. If a bag has 35 yellow marbles, how many green marbles does it contain? green marbles S

Algebra and Trigonometry (6th Edition)
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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**Word Problem on Proportions: Problem Type 2** **Problem:** Each marble bag sold by Chang's Marble Company contains 7 yellow marbles for every 5 green marbles. If a bag has 35 yellow marbles, how many green marbles does it contain? **Solution:** The problem requires you to use proportions to find the number of green marbles. Set up a proportion based on the given ratio: - The ratio of yellow to green marbles is 7:5. - With 35 yellow marbles, find the number of green marbles (let's call it "x"). Set up the proportion: 7/5 = 35/x Now, cross-multiply and solve for x: 7 * x = 5 * 35 7x = 175 x = 175 / 7 x = 25 Therefore, the bag contains 25 green marbles. **Interactive Elements:** - An input box labeled “green marbles” for entering the calculated answer. - Two buttons: one to evaluate the answer ("Check") and another for resetting the problem. This exercise demonstrates understanding and application of ratio and proportion concepts.
Transcribed Image Text:**Word Problem on Proportions: Problem Type 2** **Problem:** Each marble bag sold by Chang's Marble Company contains 7 yellow marbles for every 5 green marbles. If a bag has 35 yellow marbles, how many green marbles does it contain? **Solution:** The problem requires you to use proportions to find the number of green marbles. Set up a proportion based on the given ratio: - The ratio of yellow to green marbles is 7:5. - With 35 yellow marbles, find the number of green marbles (let's call it "x"). Set up the proportion: 7/5 = 35/x Now, cross-multiply and solve for x: 7 * x = 5 * 35 7x = 175 x = 175 / 7 x = 25 Therefore, the bag contains 25 green marbles. **Interactive Elements:** - An input box labeled “green marbles” for entering the calculated answer. - Two buttons: one to evaluate the answer ("Check") and another for resetting the problem. This exercise demonstrates understanding and application of ratio and proportion concepts.
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