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Analyzing Bean Quantity Distribution: Exam Prep Problem 62

In this warm-up exercise, Mr. Lee has bags of red and black beans, where 20% of the total beans are black. He discovers there are 180 ounces more red beans than black beans. After transferring some red beans, the black bag then contains 30% of the total beans. The task is to determine how many ounces are now in the mixed beans bag. This problem engages students in understanding proportions and volume calculations, leading to a practical application in real-world scenarios and preparing for the individual exam.

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Analyzing Bean Quantity Distribution: Exam Prep Problem 62

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  1. Week 18, Day One HW # 62 - Study for the Individual Exam Warm up Mr. Lee had a bag of red beans and a bag of black beans. 20% of the total number of beans were black, and there were 180 oz. more red beans than black beans. He transferred some red beans to the bag containing black beans so that the bag now contained 30% of the total number of beans. How many ounces of beans were there in the bag of mixed beans?

  2. Warm Up Response Since each part is 20% 20% x 3 = 60% 3 equal parts are 60% 60%  180 oz 10%  180 oz / 6 = 30 oz 10% of the total number of beans was 30oz 30 %  30 oz * 3 = 90 oz There were 90 oz of beans in the bag of mixed beans.

  3. Homework Check You should have worked on the group test.

  4. Goals for Today • Check your answers with your table. Work on the problems that were difficult for you or on which your answers do not agree. • We will check work as a class near the end of the period. • Complete Area and Volume worksheet

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