Evan went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 150 mg of sodium and each frozen dinner has 550 mg of sodium. Evan purchased a total of 16 cans of soup and frozen dinners which collectively contain 5200 mg of sodium. Determine the number of cans of soup purchased and the number of frozen dinners purchased.
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Answer:
Let number of cans of soup be x
number of cans of frozen dinners be 16-x (as total no of cans are 16)
total mg of sodium contain in x cans of soup=x×150
total mg contain in 16-x cans of frozen dinners=(16-x)550
According to Question
150x+(16-x)550=5200
150x+8800-550x=5200
-400x=5200-8800
-400x= -3600
x= -3600/-400=9
Number of soup cans are 9
Number of frozen dinners are 16-9=7
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