Answer:
<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Amount of sodium per can of soup = 300 mg
Amount of sodium per frozen dinner = 550 mg
They all collectively contain 5,750 mg of sodium
Tyler purchased twice as many cans of soup as frozen dinners
2. Determine the number of cans of soup purchased and the number of frozen dinners purchased.
Let s to represent the number of cans of soup Tyler purchased
Let d to represent the number of frozen dinners Tyler purchased
Let's write our equation of systems:
s = 2d (1st equation)
300s + 550d = 5,750 (2nd equation)
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Substituting s and solving for d in the 2nd equation:
300s + 550d = 5,750
300 * 2d + 550d = 5,750
600d + 550d = 5,750
1,150d = 5,750
d = 5,750/1,150
<u>d = 5 ⇒ s = 2 * 5 = 10</u>
<u>Tyler purchased 10 cans of soup and 5 frozen dinners.</u>
Let's prove d = 5 and s = 10 are correct:
300 * 10 + 550 * 5 = 5,750
3,000 + 2,750 = 5,750
5,750 = 5,750
<u>We proved d = 5 and s = 10 are correct</u>
