SOLUTION: Apples are 92 cents a pound, and pears are $1.22 a pound. If I spend $ 4 and the weight of the apples I buy is twice the weight of the pears, how many pounds of pears do I buy?
Question 939214: Apples are 92 cents a pound, and pears are $1.22 a pound. If I spend $ 4 and the weight of the apples I buy is twice the weight of the pears, how many pounds of pears do I buy?
Round your answer to three decimal places. Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! x = pounds of apples
y = pounds of pears
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x = 2y
0.92x + 1.22y = 4
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put the system of linear equations into standard form
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x - 2y = 0
0.92x + 1.22y = 4
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copy and paste the above standard form linear equations in to this solver:
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solution by matrix method:
x = 2.6143791
y = 1.3071895
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now, solve by substitution:
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x = 2y
0.92x + 1.22y = 4
0.92*(2y) + 1.22y = 4
(0.92*2 + 1.22)y = 4
y = 4/(0.92*2 + 1.22)
y = 1.30718954248
x = 2y
x = 2*1.30718954248
x = 2.61437908496
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solution by substitution:
x = 2.6143791
y = 1.3071895
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