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Corinne bought 5 bags of chips and 4 jars of dipping sauce for $21.82. At the same prices, Ginger bought 4 bags of chips and 3 jars of dipping sauce for $16.86. What is the price of one jar of dipping sauce?

Respuesta :

$2.98

Step-by-step explanation:

       5 bags of chips and 4 jars of dipping sauce cost $21.82. Also, 4 bags of chips and 3 jars of dipping sauce cost $16.86.

       This problem can be modeled using linear equations in two variables.

Let [tex]c[/tex] be the cost of a bag of chip and [tex]s[/tex] be the cost of a jar of dipping sauce.

The information yields the equations

       [tex]5c+4s=21.82,4c+3s=16.86\\\textrm{Multiply first equation by 4 and second equation by 5}\\20c+16s=87.28,20c+15s=84.3\\\textrm{Subtracting second equation from the first one}\\s=\$2.98[/tex]

∴ A jar of dipping sauce costs [tex]\$2.98[/tex].

MJbrown

Answer:       $2.98

Step-by-step explanation:

Let B = price of a bag of chips and J = price of a jar of dipping sauce.

Write a system of equations to represent the cost of the purchases.

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