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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 :

TaeKwonDoIsDead

Answer:

$2.98

Step-by-step explanation:

Let price of 1 bag of chips be x

Let price of 1 jar of dipping sauce be y

From the 1st statement, we can write:

5x + 4y = 21.82

From the 2nd statement, we can write:

4x + 3y = 16.86

We will multiply 1st equation by 4 and 2nd equation by -5 to get:

4(5x + 4y = 21.82) = 20x + 16 y = 87.28

-5(4x + 3y = 16.86) = -20x -15y = -84.30

Adding, we get:

20x + 16 y = 87.28

-20x -15y = -84.30

-----------------------------

y = 2.98

This is price of 1 jar of dipping sauce - $2.98

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