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OLEGan [10]
3 years ago
11

On a certain hot summer's day, 321 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for a

dults. The receipts for admission totaled $634.25. How many children and how many adults swam at the public pool that day?​
Mathematics
2 answers:
Ksivusya [100]3 years ago
7 0
120 children and 388 adults bought tickets for the swimming pool
Explanation:
Create two simultanous equations:
Let c stand for the number of children that bought a ticket, and a stand for the number of adults that bought a ticket, you get your first equation, being
c
+
a
=
508
then, you now create a second equation for the prices of the tickets.
(price of childrens tickets)(number of children that swam)+(price of adults tickets)(number of adults that swam) = total money collected
so:
1.75
c
+
2.25
a
=
1083.00

now we still know, that
a
=
508
−
c

so we can substitute it into the second formula
1.75
c
+
2.25
(
508
−
c
)
=
1083

now its just simple algebra
1.75
c
+
1143
−
2.25
c
=
1083

60
=
0.5
c
so:
c
=
120
now we know, that 120 children went to the swimming pool.
and we still have the formula from before:
a
=
508
−
c
so
a
=
388
Paul [167]3 years ago
5 0

Answer:

31 children and 290 adults

Step-by-step explanation:

Let a = number of adults and c = number of children.

a + c = 321

2a + 1.75c = 634.25

Multiply both sides of the the first equation by -2 and add it to the second equation.

         -2a -     2c = -642

(+)       2a + 1.75c = 634.25

--------------------------------------

                 -0.25c = -7.75

Divide both sides by -0.25

c = 31

Use the first equation to find a.

a + c = 321

Substitute 31 for c.

a + 31 = 321

Subtract 31 from both sides.

a = 290

Answer: 31 children and 290 adults

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ruslelena [56]

Answer:

56.8%

Step-by-step explanation:

(115/266)* 100 = 43.2%

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so,

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7 0
3 years ago
Please help will mark Brainly
SIZIF [17.4K]

The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8) thus option (A),(B) and (D) are correct.

<h3>What is the equation?</h3>

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

3x - y = 1

Substitute, x = -2

3(-2) - y = 1

y = -7 thus  (-2,-7) satisfied.

Similarly (-1,-4) and (3,8) are also satisfied.

Hence "The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8)".

For more about the equation,

brainly.com/question/10413253

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7 0
1 year ago
Filip is inviting 6 friends to a party. Each friend wants 5 cookies and each box has 8 cookies. How many boxes should Filip get?
Alecsey [184]
Flip should get 4 boxes.

6*5=30
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