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
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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?
Found 2 solutions by rothauserc, MathTherapy:
Answer by rothauserc(4718) (Show Source): 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
Answer by MathTherapy(10553) (Show Source): 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!!
Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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