Need all steps and answer for: A grocery shelf contains cans of red beans and ca

Question

Need all steps and answer for: A grocery shelf contains cans of red beans and cans of blackbeans. All cans of red beans have the same weight and all cansof black beans have the same weight. A shopper purchases 6 cans ofred beans and 6 cans of black beans and her purchase weighs a totalof 54 pounds. Another shopper purchases 3 cans of red beansand 5 cans of black beans and his purchase weighs a total of 35pounds. Find the weight of a can of red beans, and the weight of acan of black beans. Need all steps and answer for: A grocery shelf contains cans of red beans and cans of blackbeans. All cans of red beans have the same weight and all cansof black beans have the same weight. A shopper purchases 6 cans ofred beans and 6 cans of black beans and her purchase weighs a totalof 54 pounds. Another shopper purchases 3 cans of red beansand 5 cans of black beans and his purchase weighs a total of 35pounds. Find the weight of a can of red beans, and the weight of acan of black beans.

Explanation / Answer

Can of red bean=A             Can of black bean =B 6A+6B=54----(1) 3A+5B=35----(2) (2)x2 6A+10B=70 6A=70-10B----(3) Replace (3) to (1) 70-10B+6B=54 -4B= -16    B=4------Replace this value to(1) 6A+6B=54 6A+24=54 6A=30 A=5

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