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Airida [17]
2 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:
dsp732 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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Answer:

A) 315/1005

Explanation:

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Answer: 44 miles

WORKINGS

Given,
The distance between Indianapolis and Lima, IL = 173 miles
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The distance between Dayton and Lima, DL is unknown

Since there are straight roads connecting the three cities, the connection between them form a right angles triangle.

The right angle is at Dayton
The hypotenuse is the distance between Indianapolis and Lima, IL

Therefore IL^2 = ID^2 + DL^2
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DL^2 = 173^2 – 165^2
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That is, Distance of Indianapolis to Dayton + Distance of Dayton to Lima – Direct distance of Indianapolis to Lima
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Step-by-step explanation:

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