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Otrada [13]
3 years ago
13

As a motivational speaker, Bree speaks at school assemblies, charging a school

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
4 0

Answer:

<em>Bree spoke at 55 assemblies in this district.</em>

Step-by-step explanation:

Bree speaks at school assemblies charging a school district a total cost C modeled by the equation:

C(a) = 50a+1,500

Being a the number of assemblies attending the meeting.

It's given Bree charged the Escambia City School District $4,250  to speak at school assemblies.

We can find the number of assemblies by solving the equation:

50a+1,500=4,250

Subtracting 1,500:

50a=4,250-1,500=2,750

Dividing by 50;

a = 2,750 / 50=55

Bree spoke at 55 assemblies in this district.

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Let x be the cost of 1 shirt and y be the cost of 1 scarf.

Since, 3 shirts and 2 scarves cost $94, we have,

3x + 2y = 94

Since the number of unknowns is greater than the number of equations (2 > 1), the above system has infinitely many solutions.

If t is the cost of 1 scarf, then

3x + 2t = 94

3x = 94 - 2t

x = \frac{94-2t}{3}

For different values for t, we will get different values for x.

Set t = 2.

Then, x = \frac{94-2(2)}{3}

= \frac{94-4}{3}

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= 30

So, if the cost of 1 scarf is $2, then the cost of 1 shirt is $30.


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