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Kryger [21]
3 years ago
15

You order two tacos and a salad. The salad costs $2.50. You pay 8% sales tax and leave a $3 tip. You pay a total of $13.80. How

much does one taco cost?
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
3 0
Price of one taco = x; price of 2 tacos = 2xPrice of salad = $2.50Sales tax = 8% of the combined price of two tacos and a salad, namely .08(2x + 2.50)Tip = constant fee = $3.00Total bill = $13.80 Therefore the equation becomes

2x + 2.50 + .08(2x + 2.50) + 3 = 13.80 Step 3:  Solve for x; isolate the variable 2x + 2.50 + .16x + .20 + 3 = 13.80 (using the distributive property to multiply 2x and 2.5 by .08).2.16x + 2.70 + 3 = 13.80 (combining like terms)2.16x + 5.70 = 13.80 (combining like terms)2.16x + 5.70 = 13.80 - 5.70 (subtraction property of equality)2.16x = 8.10x = 8.10/2.16 = 3.75 (division property of equality) Step 4: Interpret mathematical answer in context of original word problem. The cost of a single taco is $3.75 Step 5: Verify that answer makes sense for problem. 2 Tacos would cost $7.501 Salad would cost $2.50Food bill subtotal would be $10.00Sales tax is 8% of $10 or 80 centsTip is $3 Confirm 7.5 + 2.5 + .8 + 3 = $13.80
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vlabodo [156]

Answer:

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Step-by-step explanation:

<u>Given:</u>

  • t = the number of taffy bags
  • c = the number of caramel bags
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  • Total weight is 400 ounces

<u>Equations:</u>

  • t = c + 5             (the difference in number of bags)
  • 8t + 16c = 400  (the weight of the bags)

<u>Simplify the second equation by dividing all terms by 8:</u>

  • t + 2c = 50

<u>Substitute t and solve for c:</u>

  • c + 5 + 2c = 50
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  • c = 45/3
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<u>Find the value of t:</u>

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<u>Answer:</u>

  • 20 taffy bags and 15 caramel candy bags

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Step-by-step explanation:

\measuredangle BDC = 29°...(Given) \\\because \measuredangle BAC = \measuredangle BDC\\(\angle 's \: subtended \: by\: same\: arc) \\\huge \purple {\boxed {\therefore \measuredangle BAC = 29°}} \\\\

Since, angle subtended on the center of the circle is twice the angle subtended on the circumference of the circle.

\therefore \measuredangle BOC =2\times \measuredangle BDC\\\therefore \measuredangle BOC =2\times 29°\\\huge \red {\boxed {\therefore \measuredangle BOC =58°}} \\

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Going with the brand A option leads to more juice by 0.10 liters (subtract 2.85 and 2.75)

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