Question

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

bag of peanuts for $0.76 and a bag of pistachios for $3.68. At the end of that day, 50 bags of
peanuts and pistachios were sold for a total of $128.52. How many bags of each were sold?

Answer 1

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

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 = (90.5)/(2.92)`

`y = 31`

`x = 50 - y = 50 - 31 = 19`

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