Question 748648


Hello, 

What would be the answer to the question below and how would I put the word problem including the answers into a linear equation? Would there be any way at all that you could please break it down step by step so that I can understand it better? Thank you


A mom bought 28 packages of Reese’s Cups with 88 total cups. Each king size package holds 4 cups. Each regular size package holds two cups. How many of each size did she buy?


Let amount of king-sized, and regular-sized Reese’s she bought be K, and R, respectively
Then: K + R = 28 ------ eq (i)
Also, 4K + 2R = 88 ----- eq (ii) 
- 2K – 2R = - 56 ------ Multiplying eq (i) by – 2 ----- eq (iii)
2K = 32 ----- Adding eqs (ii) & (iii)


K, or amount of king-sized Reese’s purchased = {{{32/2}}}, or {{{highlight_green(16)}}}


16 + R = 28 ------- Substituting 16 for K in eq (i)
R, or amount of regular-sized Reese’s purchased = 28 – 16, or {{{highlight_green(12)}}}


You can do the check!!


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