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kirza4 [7]
3 years ago
12

Camila and her children went into a bakery and she bought $35 worth of cupcakes and brownies. Each cupcake costs $3.75 and each

brownie costs $2.50. She bought a total of 10 cupcakes and brownies altogether. Write a system of equations that could be used to determine the number of cupcakes and the number of brownies that Camila bought. Define the variables that you use to write the system.
Mathematics
2 answers:
Mashcka [7]3 years ago
5 0

Answer: The system of equations are

x + y = 10

3.75x + 2.5y = 35

Step-by-step explanation:

Let x represent the number of cupcakes that Camila bought.

Let y represent the number of brownies that Camila bought.

She bought a total of 10 cupcakes and brownies altogether. This would be expressed as

x + y = 10

Camila and her children went into a bakery and she bought $35 worth of cupcakes and brownies. Each cupcake costs $3.75 and each brownie costs $2.50. This would be expressed as

3.75x + 2.5y = 35

alex41 [277]3 years ago
3 0

Answer: The system of equations are

x + y = 10

3.75x + 2.5y = 35

Step-by-step explanation:Let x represent the number of cupcakes that Camila bought.

Let y represent the number of brownies that Camila bought.

She bought a total of 10 cupcakes and brownies altogether. This would be expressed as

x + y = 10

Camila and her children went into a bakery and she bought $35 worth of cupcakes and brownies. Each cupcake costs $3.75 and each brownie costs $2.50. This would be expressed as

3.75x + 2.5y =35

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2 years ago
Sing acts are 5 min long and comedy acts are 3 min long. The show has 12 acts and last 50 min. How many singing acts and how man
ryzh [129]

Answer

so there are 7 singing acts and 5 comedy acts.

Step-by-step explanation:

Let x= number of singing acts.

Let y= number of comedy acts.

We will take x+y=12 as our first equation, as there are 12 shows in total. We will take 5x+3y=50 as our second equation as there are 50 total minutes, and singing acts are 5 mins and comedy acts are 3 mins.

We solve x+y=12

Y=-x+12

We know y=-x+12, so we will substitute that for the y in the second equation.

1. Substitute 5x+3(-x+12)=50

2. Distribute 5x-3x+36=50

3. Solve 2x+36=50

2x=14

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Now that we have found x, we will find y by substitute the x in 5x+3y=50 with the value, 7, that we found for x.

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6 0
2 years ago
Spends a total of $38.75 on 5 drinks and 2 bags of popcorn. Noah spends a total of $37.25 on 3 drinks and 4 bags of popcorn. Wri
Ira Lisetskai [31]

Answer:

3d + 4p = $37.25

5d + 2p = $38.75

Actual Answer:

Bag of popcorn is $5

A drink is $5.75

Step-by-step explanation:

Let drinks = d

Let popcorn = p

Noah: 3d + 4p = $37.25

Other: 5d + 2p = $38.75

Choose a variable to eliminate (We'll choose p)

3d + 4p = $37.25

(5d + 2p = $38.75) -2

Distribute

-10d - 4p = -77.5

The -4p cancels out the 4p, then we combine

-7d = -40.25

Divide both sides by -7

-7d/-7 = -40.25/-7

d = 5.75

Back to 3d + 4p = $37.25

Substitute d with 5.75

3(5.75) + 4p = $37.25

17.25 + 4p = 37.25

Move the constant to the other side

17.25 + 4p = 37.25

-17.25           -17.25

4p = 20

Divide both sides by 4

4p/4 = 20/4

p = 5

5 0
2 years ago
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