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galina1969 [7]
3 years ago
9

The school cafeteria sells two types of wraps vegetarian and chicken the vegetarian wrap costs $1.00 and the chicken wrap costs

$3.40 today they made $266.20 from the 103 wraps sold how many wraps sold were vegetarian
Mathematics
2 answers:
kari74 [83]3 years ago
5 0

<u>Answer</u><u> </u><u>:</u>

  • The school cafeteria sold 35 vegetable wraps.

<u>Step-by-step explanation:</u>

  • Let the count of vegetarian wraps be x
  • Let the count of chicken wraps be y.

<u>Then</u><u> </u><u>for</u><u> </u><u>the</u><u> </u><u>count</u><u> </u><u>we</u><u> </u><u>have</u><u> </u><u>:</u>

→ count of vegetarian wraps + count of chicken wraps = 103

→ x + y = 103......[Equation (i)]

<u>Then</u><u> </u><u>for</u><u> </u><u>the</u><u> </u><u>cost</u><u> </u><u>we</u><u> </u><u>have</u><u> </u><u>:</u>

→ ❲$1.00 * x❳ + ❲$3.40 * y❳ = $266.20

<u>Dropping the dollar signs we get :</u>

→ ❲1.00 * x❳ + ❲3.40 * y❳ = 266.20

→ x + 3.40y = 266.20.....[Equation (ii)]

<u>Substr</u><u>acting</u><u> </u><u>equation</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>from</u><u> </u><u>equatio</u><u>n</u><u> </u><u>(</u><u>ii</u><u>)</u><u> </u><u>we</u><u> </u><u>get</u><u> </u><u>:</u>

→ 0 + 2.4y = 163.2

→ 2.4y = 163.2

→ y = 163.2 ÷ 2.4

→ y = 68

<u>Now</u><u>,</u><u> subsitute</u><u> </u><u>the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>6</u><u>8</u><u> </u><u>in</u><u> </u><u>equatio</u><u>n</u><u> </u><u>(</u><u>i</u><u>)</u><u> </u><u>we</u><u> </u><u>get</u><u> </u><u>:</u>

→ x + y = 103

→ x + 68 = 103

→ x = 103 - 68

→ x = 35

  • <u>Hence</u><u>,</u><u> the school cafeteria sold </u><u>35</u><u> vegetable wraps.</u>
IRINA_888 [86]3 years ago
3 0

Answer:

35

Step-by-step explanation:

Let's make a system of equations for the vegetarian and chicken wraps; one for the total cost of them and one for the total amount sold.

Vegetarian wraps will be represented by variable v and chicken wraps will be represented by the variable c.

  • v + 3.40c = 266.20
  • v + c = 103

Subtract these equations.

  • 2.40c = 163.20

Divide both sides by 2.40.

  • c = 68

Substitute this value for c into the second equation.

  • v + (68) = 103

Subtract 68 from both sides.

  • v = 35  

The number of vegetarian wraps sold amounted to 35 in total.

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