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babystar16
 4 years ago
if 8 pens and 7 pencils cost $3.37 while 5 pens and 11 pencils cost $3.10, how much does each pen and pencil cost?
babystar16
 4 years ago
if 8 pens and 7 pencils cost $3.37 while 5 pens and 11 pencils cost $3.10, how much does each pen and pencil cost?

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MathLegend
 4 years ago
Best ResponseYou've already chosen the best response.1@babystar16 do you want me to show you how to solve?

MathLegend
 4 years ago
Best ResponseYou've already chosen the best response.1So we can setup system of linear equation.

MathLegend
 4 years ago
Best ResponseYou've already chosen the best response.1P = Pens C = Pencils

MathLegend
 4 years ago
Best ResponseYou've already chosen the best response.18p+7c=3.37 5p+11c=3.10

MathLegend
 4 years ago
Best ResponseYou've already chosen the best response.1@babystar16 can't we multiply both of the 'p' variables to get a common number? Lets multiply the 8p times 5. Then the 5p times 8.

MathLegend
 4 years ago
Best ResponseYou've already chosen the best response.140p35c=16.85 40p+88c=24.80  (Now, we add...) 53c = 7.95 c = .15

MathLegend
 4 years ago
Best ResponseYou've already chosen the best response.1@babystar16 do you understand this?

MathLegend
 4 years ago
Best ResponseYou've already chosen the best response.1Now, just plug back in .15 for c in the original equation.

MathLegend
 4 years ago
Best ResponseYou've already chosen the best response.15p+11(.15)=3.10 5p + 1.65 = 3.10 5p = 1.45 p = .29

MathLegend
 4 years ago
Best ResponseYou've already chosen the best response.1Pens were .29 cent Pencils were .15 cent

babystar16
 4 years ago
Best ResponseYou've already chosen the best response.1thank u for helping me understand it
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