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?
Accepted Solution
A:
Answer:$2.98Step-by-step explanation:Let price of 1 bag of chips be xLet price of 1 jar of dipping sauce be yFrom the 1st statement, we can write:5x + 4y = 21.82From the 2nd statement, we can write:4x + 3y = 16.86We 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 = -84.30Adding, we get:20x + 16 y = 87.28-20x -15y = -84.30-----------------------------y = 2.98This is price of 1 jar of dipping sauce - $2.98