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natulia [17]
3 years ago
15

Adult tickets to the fall play cost $6 and student tickets cost $3. The drama class sold 25 more student tickets than adult tick

ets to the fall play. If the class collected $660 from ticket sales, how many student tickets were sold?
Mathematics
1 answer:
Gelneren [198K]3 years ago
3 0
Let the number of adult tickets sold equal a.
Let the number of student tickets sold equal s.

The cost of the adult tickets sold is 6a.
The cost of the student tickets sold is 3s.
The total sales was $660, so we have our first equation:
6a + 3s = 660

25 more student tickets than adult tickets were sold.
That gives us our second equation
s = a + 25

We have a system of equations.

6a + 3s = 660
s = a + 25

Since the second equation is already solved for s, we can use the substitution method. Replace s of the first equation with a + 25 and solve for a.

6a + 3(a + 25) = 660

6a + 3a + 75 = 660

9a = 585

a = 65

65 adult tickets were sold.
Now we find the number of student tickets sold.

s = a + 25 = 65 + 25 = 90

Answer: The number of student tickets sold was 90.
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The easiest way to do it (for me) is to find 1% of the regular price. I think we can round the prices to $70,00 and $40,00 to show nice percentage.

70 / 100 = 0,7

So 1% is 0,7. Now we can divide $40,00 by 0,7 to calculate how many percent it is:

40 / 0,7 = 57 (after rounding it to the nearest whole number)

So the discount was 100 - 57 = 43 percent.

Doublecheck (optional):

70 * 57% =
= 70 * 57/100 =
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= 7 * 5 7,10 =
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70 * 43% =
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The difference of 0,1 is because of the rounding, but it's correct.

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3 years ago
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Answer:

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3 years ago
What is bigger 3/4 or 3/8
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if the current batch of pills is the first of the day and your goal is to produce a total of 600 what percentage of your goal wi
Zanzabum

Answer:

<u>12.5% ≈ 13%</u>

Step-by-step explanation:

The rest of the question is: There are 75 pills in the batch.

The current batch of pills is the first of the day and our goal is to produce a total of 600.

If there are 75 pills in the batch so percentage of goal completed will be

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