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A store sells pencils in small and large boxes. A large box has ten times as many pencils as a small box. Mr. Adachi buys 5 small boxes and 2 large boxes, for a total of 250 pencils. Mr. Adachi sets up a system of equations to model this situation. One of the equations is y = 10x. What is the other equation? Enter your answer in ax + by = c form, where a and b are whole numbers with no common factor other than 1.

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Answer:

[tex]\boxed{5x+2y=250}[/tex]

Step-by-step explanation:


Let [tex]x[/tex] represent a small box of pencil and [tex]y[/tex] represent a large box of pencil.


We were told that "A large box has ten times as many pencils as a small box". This statement gave the equation;


[tex]y=10x[/tex]


If Mr. Adachi buys 5 small boxes and 2 large boxes, for a total of 250 pencils, then the equation Mr. Adachi set up was;


[tex]5x+2y=250[/tex]

where [tex]a=5[/tex] and [tex]b=2[/tex] has no common factor other than 1.




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