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AnnZ [28]
3 years ago
13

The cost of 3 tacos and 1 soda is $7. The costof 4 tacos and two sodas is $10. What is the cost of one taco

Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

Answer:

cost of tacos=$2

cost of soda=$1

Step-by-step explanation:

x=price of tacos

y=price of soda

3x+y=7 --> y=7-3x

4x+2y=10 --> y=5-2x

5-2x=7-3x

x=2

y=5-2(2)=1

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===========================================================

Work Shown:

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Explanations:

  • The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
  • In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
  • On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
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