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Lapatulllka [165]
3 years ago
13

Three students buy lunch in the cafeteria One student buys 4 hamburgers, 4 orders of tries, and 1 soda for $21. Another student

buys 1 hamburger, 1 order of fries, and 1 soda for $5. The third student buys 1 hamburger and 1 order of fries for $5. If possible, find the cost of each item Interpret the results Select the correct choice below and, if necessary,fill in any answer boxes within your choice. OA. The cost of a hamburger is S□ The cost of an order of ties is S[] The ost of a soda is S 。B. t's not possble to determine the cost of oach item because the system has infi tely many solutions. Tho students e Round to the nearest cent as needed.) h have a different y rond prepaid meal plan. ○ С. It s rot possible to do omrino tho ost of oach item beause the system has no solution One of the students was charged incorrectly Click to select and entet your answor)
Mathematics
1 answer:
icang [17]3 years ago
7 0

Answer:

The answer to your question is letter C

Step-by-step explanation:

Data

hamburgers = h

fries = f

soda = s

Student 1         4h + 4f + 1s = 21

Student 2         1h + 1f + 1s = 5

Student 3         1h + 1f        = 5

From the data of students 2 and 3 we can conclude that the system will not have a solution because is not possible that one student has charged 3 items for the same cost of student 3 that bought only 2 items.

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Answer:

<h2><em><u>A to C = 25 </u></em></h2><h2><em><u>A to B = 13 </u></em></h2><h2><em><u>C to B = 37 </u></em></h2><h2><em><u></u></em></h2>

Step-by-Step Explanation:

<em><u>Perimeter</u></em> = 75

<em><u>Sides:</u></em>

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<h2 /><h2><em><u>1. Equal the sides added together to the perimeter</u></em></h2>

75 = 2x + 3 + 3x + 4 + 2x - 9

<h2><em><u>2. Simplify Like terms</u></em></h2>

2x + 3 + 3x + 4 + 2x - 9  = 7x - 2

<h2><em><u>3. Place the equation back together</u></em></h2>

75 = 7x - 2

<h2><em><u>4. Isolate the variables and numbers</u></em></h2>

75 = 7x - 2

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<h2><em><u>5. Simplify the equation</u></em></h2>

77 = 7x

/7     /7

<h2><em><u>11 = x </u></em></h2>

<h2><em><u>6. Substitute the value of x into the side lengths.</u></em></h2>

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3x + 4 = 3(11) + 4 = 33 + 4 = <em><u>37</u></em>

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