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2 years ago

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Megan has 30 brownies and 42 cupcakes to package. She wants to put the same numbers of brownies and cupcakes in each box. What i

s the greatest number of boxes she can make? How many cupcakes and how many brownies will each box contain?

1 answer:

valkas [14]2 years ago

7 0

The answer would be 6

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Solve the system: <br> 2/x - 3/y =-5; 4/x + 6\y =14

sertanlavr [38]

The solution is $x = 2 \text{ and } y = \frac{1}{2}$

<em><u>Solution:</u></em>

Let us assume,

$a = \frac{1}{x}\\\\b = \frac{1}{y}$

<em><u>Given system of equations are:</u></em>

$\frac{2}{x} - \frac{3}{y} = -5$

$\frac{4}{x} + \frac{6}{y} = 14$

<em><u>Rewrite the equation using "a" and "b"</u></em>

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 2</u></em>

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

$a = \frac{4}{8}\\\\a = \frac{1}{2}$

Substitute a = 1/2 in eqn 1

$2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2$

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

$a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2$

Substitute b = 2 in assumed value

$b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}$

Thus the solution is $x = 2 \text{ and } y = \frac{1}{2}$

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2 years ago

Martin charges 10$ for every 5 bags of leaves he rakes .last weekend , he raked 24 bags of leaves how much money did he earn

V125BC [204]

The answer is 25/12

that is your answer
hope I helped

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2 years ago

Which of the graphs below represents the equation 8x − y = -4?

Akimi4 [234]

Answer:

8x-y+4=0

Step-by-step explanation:

because 8x-y+4=-4+4

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2 years ago

Write an equation to describe the axis of<br> symmetry for the graph on the right

drek231 [11]

Answer:

across the mibble to the down

Step-by-step explanation:

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2 years ago

Braden about three adult tickets and one child ticket at the movie theater and paid $32. Karen bought seven adult tickets and tw

Rama09 [41]

The cost of one adult ticket is $8 and cost of one child ticket is $8.

Step-by-step explanation:

Let,

Cost of one adult ticket = x

Cost of one child ticket = y

According to given statement;

3x+y=32 Eqn 1

7x+2y=72 Eqn 2

Multiplying Eqn 1 by 2

$2(3x+y=32)\\6x+2y=64\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(7x+2y)-(6x+2y)=72-64\\7x+2y-6x-2y=8\\x=8$

Putting x=8 in Eqn 1

$3(8)+y=32\\24+y=32\\y=32-24\\y=8$

The cost of one adult ticket is $8 and cost of one child ticket is $8.

Keywords: linear equation, elimination method

Learn more about linear equations at:

#LearnwithBrainly

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3 years ago