Madison purchased 5 cans of soup and 7 frozen dinners.
Step-by-step explanation:
Given,
Quantity of sodium in each soup can = 500 mg
Quantity of sodium in each frozen dinner = 700 mg
Total quantity = 7400
Let,
Number of soup cans purchased = x
Number of frozen dinners purchased = y
According to given statement;
500x+700y=7400 Eqn 1
y = x+2 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
[tex]500x+700(x+2)=7400\\500x+700x+1400=7400\\1200x=7400-1400\\1200x=6000[/tex]
Dividing both sides by 1200
[tex]\frac{1200x}{1200}=\frac{6000}{1200}\\x=5[/tex]
Putting x=5 in Eqn 2
[tex]y=5+2\\y=7[/tex]
Madison purchased 5 cans of soup and 7 frozen dinners.
Keywords: linear equation, substitution method
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Answer:
Madison purchased 5 cans of soup and 7 frozen dinners
Step-by-step explanation:
