Question

Solve this application problem using a system of equations: A grocery store recently sold a

Answer 1

Answer:

19 bags of peanuts and 31 bags of pistachios were sold.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of bags of peanuts sold.

y is the number of bags of pistachios sold.

50 bags of  peanuts and pistachios were sold

This means that $x + y = 50$, that is: $x = 50 - y$

A grocery store recently sold a  bag of peanuts for $0.76 and a bag of pistachios for $3.68. Were sold for a total of $128.52.

This means that:

$0.76x + 3.68y = 128.52$

Since $x = 50 - y$

$0.76(50 - y) + 3.68y = 128.52$

$2.92y = 90.5$

$y = \frac{90.5}{2.92}$

$y = 31$

$x = 50 - y = 50 - 31 = 19$

19 bags of peanuts and 31 bags of pistachios were sold.