Joshua went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 200 mg of sodium and each frozen dinner has 400 mg of sodium. Joshua purchased a total of 10 cans of soup and frozen dinners which collectively contain 2400 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define thec
+8 Ok
c = cans of soups
f = frozen dinners
200c + 400f = 2400
This is because each can of soup holds 200 mg and frozen dinners hold 400 mg
and the total is 2400 mg of sodium
You then want to simplify by 200 giving
c + 2f = 12
And using elimination you get
f = 2
and
c = 8
Therefore there are 2 frozen dinners as well as 8 cans of soup
