1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OLEGan [10]
2 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]2 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]2 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

You might be interested in
Jamal runs the bouncy house at a festival. The bouncy house can hold a maximum of 1200 pounds at one time. He
jekas [21]
Sorry I really need point but I wish you good luck!
7 0
2 years ago
Can somebody solve this?
balandron [24]

Answer:

y = − 4 +2x/3

Step-by-step explanation:

7 0
2 years ago
I think I’m missing something
zepelin [54]

Answer:

Step-by-step explanation:

no ur good u got all of them

4 0
2 years ago
Read 2 more answers
45 is 20% of what number?
nadezda [96]
x-\ number\\\\
20\%x=45\\\\
\frac{20}{100}x=45\\\\
0.2x=45\ \ \ | divide\ by\ 0.2\\\\
x=225\\\\
45\ is\ 20\% \ of\ 225.
5 0
3 years ago
Plz help me with this!
Luba_88 [7]

Answer:

92

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • 12.56 x 100 please answer!!!!!!!!!!!
    7·2 answers
  • What is the solution to the system of equations ? <br><br> 4x-5y=-17<br> x+6y=61
    5·1 answer
  • What is the y-intercept of the graph of the equation y=2(4^x) ?
    8·2 answers
  • 11. The diagram shows the dimensions of Anna’s laundry room floor. 4 feet 2 feet 12 feet 8 feet 6 feet Use either addition or su
    8·1 answer
  • How many points need to be removed from this graph so that it will be a function?
    8·2 answers
  • Use the diagram to the right to complete the statement. If m&lt;MON=74 then m&lt;KJR=
    5·1 answer
  • lindsay is very excited to be getting a great deal on an iPad. It was originally $500, but she will only be paying $325. What pe
    8·2 answers
  • Can some one please help me with this? I will mark brainlist if right.
    10·1 answer
  • When Ada was 15years and her sister ngozi was 18years. If Ada was born in 1970. In what year was ngozi born
    5·1 answer
  • Cost of a radio 25.50$ Markup 5% what is the new total
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!