Maya bought a dozen specialty donuts at the bakery for $18. She purchased a mixture of frosted donuts for $2 each, glazed donuts for $1 each, and custard filled donuts for $5 each. If Maya purchased twice as many frosted donuts as custard filled donuts, how many of each type of donut did she buy? Variables: mixture of frosted donuts X y = glazed donuts Z = custard filled donuts System: System in standard form:​

Answers

Answer 1

Answer:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1

Step-by-step explanation:

Let the quantity of frosted donuts = [tex]x[/tex]

Let the quantity of glazed donuts = [tex]y[/tex]

Let the quantity of custard filled donuts = [tex]z[/tex]

As per question statements, following equations can be made:

[tex]x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)[/tex]

Putting [tex]x=2x[/tex] in (1) and (2):

[tex]y+3z=12 .... (4)\\y+9z=18 .... (5)[/tex]

Subtracting (4) from (5):

[tex]6z=6\\\Rightarrow z =\bold{1}[/tex]

By equation (3):

[tex]x=\bold{2}[/tex]

By equation (1):

[tex]y=\bold{9}[/tex]

Therefore, the answers are:

The quantity of frosted donuts = 2

The quantity of glazed donuts = 9

The quantity of custard filled donuts = 1


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What is Angle?

Angle is defined as the figure formed by two lines or rays which has a common point of intersection where the angle is formed.

Sum of the interior angles of a triangle is supplementary.

That is three angles (y - 6)°, 72° and an unknown angle is supplementary.

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Step-by-step explanation:

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Step-by-step explanation:

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trust me

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

X+Y=4.25

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The following information can be depicted:

X + Y=4.25 .... i

16.90X + 4Y=36.35 ..... ii

From equation i

X = 4.25 - Y

We'll substitute X into the second equation and this will be:

16.90(4.25 - Y) + 4Y = 36.35

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Collect life terms

‭71.825‬ - 36.35 = 12.90Y

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