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
Aleksandr-060686 [28]
2 years ago
7

Write a system of equations to describe the situation below, solve using elimination, and fill in

Mathematics
1 answer:
Andrej [43]2 years ago
6 0

Answer:  Child is $1 and Adult is $3, per person.

Step-by-step explanation:

We have two unknowns, so we need at least two equations.  Let C and A stand for the price of a ticket for a child and an adult, respectively.

The income for Monday and Tuesday can be calculated:

Monday:   16C + 42A = $142

Tuesday:  24C + 26A = $102

Rearrange the second equation to isolate one of the variables.  I'll pick C:

24C + 26A = $102

C  = ($102 - 26A)/24

Now use this expression for C in the first equation

16C + 42A = $142

16(($102 - 26A)/24) + 42A = $142

16(($102 - 26A)/24) + 42A = $142

(1632 - 416A)/24 + 42A = $142

(68 - 17.3333A + 42A = $142

24.6667A = 74

A = 3  [The price of an adult pool admission is $3]

Use this value in either equation to find the price of a child's admission:

24C + 26A = $102

24C + 26*($3) = $102

24C = 102 - 78

C = $1   [The price of a child's admission to the pool is $1]

Check to see if these prices satisfy both equations:

Monday:   16C + 42A = $142

Tuesday:  24C + 26A = $102

---

Monday:   16*(1) + 42*(3)  = $142   ?   YES

Tuesday:  24*(1) + 26*(3) = $102   ?    YES

<u>Child is $1 and Adult is $3, per person.</u>

You might be interested in
ANY HELP WITH THIS QUESTION WOULD BE GREAT<br> THANK YOU :)
USPshnik [31]

Answer:

4+3 squared 3 equals 9.19 and 4-3 squared 3 equals -1.19

Step-by-step explanation:

7 0
3 years ago
A skydiver is falling at about 176 feet per second. How many feet per minute?
bixtya [17]

176 feet per sec × 6o secs in a minute = 10560

3 0
3 years ago
What would be the simple interest on an amount of $4,000 at 4% interest?
iris [78.8K]

Answer:

the answer would be $160

7 0
2 years ago
Read 2 more answers
The rule is y=− 3/4 x+ 1 /4
Effectus [21]
The answer is C because y=-3/4 which is a negative.
7 0
3 years ago
Describe the transformation that maps the pre-image A to the image A.
jolli1 [7]

Answer:

C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin

Step-by-step explanation:

by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin

3 0
2 years ago
Other questions:
  • Find the missing number in this proportion
    8·1 answer
  • What is the slope of this graph? <br> A. 1/3 <br> B. -3 <br> C. 3 <br> D. -1/3
    14·2 answers
  • At the grocery store, you can purchase lemons at 2 for $0.99. you can also buy a bag of 6 lemons for $2.50. Which is the better
    10·2 answers
  • Investigate if the equation -3x^2+9x+13 can be written in the form of a(x+p)^2+q by completing the squre.
    8·1 answer
  • Rita's water tank contains 7.8 gallons of water. Rita will begin filling her water tank at a rate of 2.1 gallons per minute. Wen
    10·1 answer
  • I WILL MARK BRAINLIST
    6·1 answer
  • Can someone please help me it’s a quiz and idk what to do!!!! pls
    5·2 answers
  • Please an someone help me 5(−3.4k−7)+(3k+21)
    10·2 answers
  • What is the y-value of the vertex of the function f(x)=â’(xâ’3)(x 11)?.
    6·1 answer
  • Pls help me in this question 4 3/4 x 2 1/8
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!