At a certain restaurant, 5 sandwiches and 7 burritos will cost $57.40. In addition, 4 sandwiches and
2 burritos cost $32.60. Assuming that we are talking about the same sandwiches and burritos, what
is the cost of 1 sandwich? What is the cost of 1 burrito? Let x represent the cost of a sandwich
and y represent the cost of a burrito. Show ALL work!
Equation #1:
Equation #2:
Cost of 1 sandwich:
Cost of 1 burrito:

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sqdancefan sqdancefan · Answer 1 · 2022-02-12T01:34:59+01:00

Answer:

Step-by-step explanation:

The two relations can be written in general form using the given variable definitions as ...

5x +7y -57.40 = 0

4x +2y -32.60 = 0

The solution using the cross-multiplication method is ...

d1 = (5)(2) -(4)(7) = 10 -28 = -18

d2 = (7)(-32.60) -(2)(-57.40) = -228.20 +114.80 = -113.40

d3 = (-57.40)(4) -(-32.60)(5) = -229.60 +163 = -66.60

x = d2/d1 = -113.40/-18 = 6.30

y = d3/d1 = -66.60/-18 = 3.70

The cost of 1 sandwich is $6.30.

The cost of 1 burrito is $3.70.
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For more about the cross-multiplication method of solving systems of equations, see ...

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