SOLUTION: 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
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?
You can put this solution on YOUR website! we are given the following problem:
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 x be the number of king size packages and y be the number of regular size packages, then we have
x+y=28
4x+2y=88
solve the first equation for x,
x=28-y
then substitute for x in the second equation
4*(28-y)+2y=88
112-4y+2y=88
-2y=-24
y=12 and x = 16
she bought 16 king size packages and 12 regular size packages
You can put this solution on YOUR website!
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 = , or
16 + R = 28 ------- Substituting 16 for K in eq (i)
R, or amount of regular-sized Reese’s purchased = 28 – 16, or
You can do the check!!
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