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lesantik [10]
3 years ago
8

Anna is a teacher at an elementary school. She purchased 73 tickets to take the first-grade children and some parents on a field

trip to the zoo. She purchased
children's tickets for $9 each and adult tickets for $15 each. She spent a total of $771. How many of each ticket did she buy?
Adults
Children
Total
Mathematics
1 answer:
Svetllana [295]3 years ago
4 0

She bought 54 child tickets and 19 adult tickets.

Step-by-step explanation:

No. of tickets purchased = 73

Cost of tickets = $771

Cost of one child ticket = $9

Cost of one adult ticket = $15

Let,

Child ticket = x

Adult ticket = y

According to given statement;

x+y=73   Eqn 1

9x+15y=771   Eqn 2

Multiplying Eqn 1 by 9;

9(x+y=73)\\9x+9y=657\ \ \ Eqn\ 3\\

Subtracting Eqn 3 from Eqn 2;

(9x+15y)-(9x+9y)=771-657\\9x+15y-9x-9y=114\\6y=114\\

Dividing both sides by 6;

\frac{6y}{6}=\frac{114}{6}\\y=19

Putting y=19 in Eqn 1

x+19=73\\x=73-19\\x=54\\

She bought 54 child tickets and 19 adult tickets.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/3227215
  • brainly.com/question/3269852

#LearnwithBrainly

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8 0
2 years ago
A farmer wishes to fence a rectangular area behind his barn. The barn forms one end of the rectangle and the length of the recta
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1. The formula for calculate the perimeter of a rectangle, is:

 P=2L+2W

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<span>
 2. The problem says that the length of the rectangle is three times the width, so you have:
</span>
 L=3W

 3. When you substitute L=3W and P=320, into P=2L+2W, you obtain:

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5 0
3 years ago
Jar contains 8 green, 4 blue, 10 red, and 2 yellow skittles. A skittle is randomly drawn replaced then another is drawn. Find ea
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Answer:

green= 33.33%

blue= 16.7%

red=41.6%

yellow=8.33%

Step-by-step explanation:

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Divide them

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blue

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red

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7 0
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The equation most closely models the line of best fit for the scatter plot is y = 2.5x

<h3>Equation of a line</h3>

A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b

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Determine the equation

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7 0
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Alborosie
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