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Sholpan [36]
1 year ago
7

The admission fee at a local zoo is $1.50 for children and $5.00 for adults. On a certain day, 3000 people enter the zoo and $9,

400.00 is collected. How many children and how many adults attended?​
Mathematics
1 answer:
vlabodo [156]1 year ago
8 0

1600 children and 1400 adults attended

<h3>How to determine the number of adults?</h3>

Let the children be x and adult be y.

So, we have the following equations:

x + y = 3000

1.5x + 5y = 9400

Make x the subject in x + y = 3000

x = 3000 - y

Substitute x = 3000 - y  in 1.5x + 5y = 9400

1.5(3000 - y) + 5y = 9400

Expand

4500 - 1.5y + 5y = 9400

Evaluate the like terms

3.5y = 4900

Divide both sides by 3.5

y = 1400

Substitute y = 1400 in x = 3000 - y

x = 3000 - 1400

Evaluate

x = 1600

Hence, 1600 children and 1400 adults attended

Read more about system of equations at:

brainly.com/question/14323743

#SPJ1

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Answer:

a) add x , subtract 1 and divide by 4

The solution of given equation x = \frac{3}{4}

<u>Step-by-step explanation:</u>

Given equation  1+3 x  = -x +4

                <em>  Add 'x' on both sides , we get</em>

                     1 + 3 x + x = - x + x +4

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      <em>  Subtract '1' on both sides , we get</em>

<em>                     1+4 x -1 = 4 -1</em>

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<em>       Dividing '4' on both sides, we get</em>

                          \frac{4x}{4} = \frac{3}{4}

                          x = \frac{3}{4}

<u><em>Final answer</em></u>:-

<em>The solution of given equation </em>x = \frac{3}{4}<em></em>

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