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ANTONII [103]
3 years ago
13

Hannah and Jenny are selling pies for a school fundraiser. Customers can buy cherry pies and

Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0

Answer:

6 for cherry

19 for blackberry

Step-by-step explanation:

Cherry = x

Blackberry = y

<u>Make system of equations:</u>

Castel:

13x + y = 97

Jasmine:

6x + 3y = 93

<u>Substitution w/ Castel's equation:</u>

y = 97 - 13x

<em>Put into Jasmine's equation</em>

6x + 3(97 - 13x) = 93

6x + 291 - 39x = 93

291 - 33x = 93

-33x = -198

x = 6 $ per Cherry Pie

<u>Plug x = 6 into any equation (choose Castel's):</u>

13(6) + y = 97

y + 78 = 97

y = 19 $ per Blackberry Pie

**Check answers... and it's correct yay

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Answer:

30 mph

Step-by-step explanation:

Let d = distance (in miles)

Let t = time (in hours)

Let v = average speed driving <u>to</u> the airport (in mph)

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Using:  distance = speed x time

\implies t=\dfrac{d}{v}

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\implies t=\dfrac{18}{v}  \ \ \textsf{and} \ \  t=\dfrac{18}{v+15}

We are told that the total driving time is 1 hour, so the sum of these expressions equals 1 hour:

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Now all we have to do is solve the equation for v:

\implies \dfrac{18(v+15)}{v(v+15)} +\dfrac{18v}{v(v+15)}=1

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(and the average speed driving from the airport was 45 mph)

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x = 7

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Answer:

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