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Airida [17]
3 years ago
6

The drama club sells hot drinks during intermission for the school play. At one performance they sold $200 worth of drinks. Kare

n knows that they sold 295 total drinks. If hot chocolate sold for $0.75 and coffee sold for $0.50, then how many of each hot drink did the drama club sell?
Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

they sold 210 hot chocolates and 85 coffees

Step-by-step explanation:

We know that they sold $200 worth of drinks

x will be the number of hot chocolates sold

y will be the number of coffees sold

This means that

.75x+.5y=200

We also know that they sold 295 total drinks which means that

x+y=295

This is a system of linear equations which I will solve through substitution

x+y=295

Subtract y from both sides and divide by -1 to get

-x+295=y

Plug y into the first equation and get

.75x+.5(-x+295)=200

Distribute the .5 and simplify to get

.75x-.5x+147.5

.25x+147.5=200

Subtract 147.5 and then divide by .25 to get our x value

x=210

Now we can go back and plug this in into our equation

210+y=295

Subtract 210 to get y

y=85

This means that they sold 210 hot chocolates and 85 coffees

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sergij07 [2.7K]

The answer to your question is

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why?

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5 0
3 years ago
Five times the sum of a number and 27 is greater than or equal to six times the sum of that
AleksAgata [21]

The complete version of question:

<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>

Answer:

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

Step-by-step explanation:

As the description of the statement is:

'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>

<em />

As

  • <em>Five times the sum of a number and 27  </em>is written as: 5(x + 27)
  • <em>greater than or equal </em>is written as:  \geq
  • <em>six times the sum of that number and 26'  </em>is written as: 6(x + 26)

so lets combine the whole statement:

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

solving

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

<em />5x+135\ge \:6x+156<em />

<em />5x+135-135\ge \:6x+156-135<em />

<em />5x\ge \:6x+21<em />

<em />5x-6x\ge \:6x+21-6x<em />

<em />-x\ge \:21<em />

<em />\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}<em />

<em />\left(-x\right)\left(-1\right)\le \:21\left(-1\right)<em />

<em />x\le \:-21<em />

Therefore,

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

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3 years ago
Does the graph of the straight line with slope of -3 and y-intercept of -4 pass through the point (-2, 2)?
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Answer:

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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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A regular work week is 40 hours. Overtime pay is time and one-half. Isabel drives a truck for $8.75 an hour. If she worked 48 ho
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For 40 hours it would be $350

And since it is only half pay for overtime then she would only make $35 in eight hours


So altogether she would make $385 this week
8 0
3 years ago
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