Madison went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 500 mg of sodium and each frozen dinner has 700 mg of sodium. Madison purchased 2 more frozen dinners than cans of soup and they all collectively contain 7400 mg of sodium. Determine the number of cans of soup purchased and the number of frozen dinners purchased.
Let s mean the can of soup and d mean the frozen dinner.
If Madison purchased 2 more frozen dinners than cans of soup, then we have the equation d=s+2
If each can of soup has 500 mg , each dinner is 700 mg, and that she bought 7400 mg of sodium total, we can come up with the equation 500s+700d=7400
Replacing the d in 500s+700d=7400 with s + 2, we get the equation 500s+700(s+2)=7400
Using the distributive formula, we get
500s+700s+1400=7400
Simplifying this equation gives 1200s=6000
6000/1200 = 5
so s = 5
if d = s + 2, d must equal 7
So Madison ordered 5 cans of soup and 7 frozen dinners.
Correct me if im wrong
Let s mean the can of soup and d mean the frozen dinner.
If Madison purchased 2 more frozen dinners than cans of soup, then we have the equation d=s+2
If each can of soup has 500 mg , each dinner is 700 mg, and that she bought 7400 mg of sodium total, we can come up with the equation 500s+700d=7400
Replacing the d in 500s+700d=7400 with s + 2, we get the equation 500s+700(s+2)=7400
Using the distributive formula, we get
500s+700s+1400=7400
Simplifying this equation gives 1200s=6000
6000/1200 = 5
so s = 5
if d = s + 2, d must equal 7
So Madison ordered 5 cans of soup and 7 frozen dinners.
Correct me if im wrong