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
WARRIOR [948]
3 years ago
12

A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets

to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
Mathematics
2 answers:
mrs_skeptik [129]3 years ago
4 0

Answer:

adult $8.00

child $5.50

Step-by-step explanation:

Let the price of 1 adult ticket = x.

Let the price of 1 child ticket = y.

2x + 4y = 38

3x + 3y = 40.5

Multiply the first equation by 3. Multiply the second equation by -2. Then add them.

         6x + 12y = 114

(+)      -6x - 6y = -81

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

                  6y = 33

y = 33/6

y = 5.5

2x + 4y = 38

2x + 4(5.5) = 38

2x + 22 = 38

2x = 16

x = 8

Answer:

adult $8.00

child $5.50

MA_775_DIABLO [31]3 years ago
3 0

Answer:

An adult ticket is $8.00 and a child's ticket is $5.50.

Step-by-step explanation:

We form a system of 2 equations and solve them.

Let a be the price of adult ticket and c the price of a child's.

2a + 4c = 38         (A)

3a + 3c = 40.5      (B)

Multiply equation A by 3 and equation B by -2:

6a + 12c = 114

-6a - 6c = -81        Adding these 2 equations:

0 + 6c = 33

c = 33/6 = 5.5.

Now we substitute for c in equation A:

2a + 4(5.5) = 38

2a = 38 - 22

2a = 16

a = 6.

Let's now check these results by substitution in equation B:

3a + 3c = 40.5

3(8) + 3(5.5) = 24.0 + 16.5 = 40.5

- so it checks out.

You might be interested in
If the outliers are not included, what is the mean of the data set?
Aleksandr-060686 [28]
The mean of the data without the outliers will be B 65.
6 0
3 years ago
Somebody... PLEASE help<br><br> What is the only solution of 2x2 + 8x = x2 – 16?
makvit [3.9K]

Answer:

x= - 4

Step-by-step explanation:

2 * x^2 + 8 * x = x^2 - 16

2 * x^2 - x^2 + 8 * x + 16 = 0

x^2 + 8 * x + 16 = 0

(x + 4) * (x + 4) = 0

x = - 4

7 0
2 years ago
Match each slope and y-intercept with the appropriate linear equation​
aleksandr82 [10.1K]

Linear equation: y = mx + c

m = slope

c = y-intercept

4 0
3 years ago
Read 2 more answers
20 square root of 270 /4 square root of 3
OleMash [197]

Answer:

<u>The most simplified form is 15√10</u>

Step-by-step explanation:

1. Let's simplify the expression:

20√270 ÷ 4√3

20√9 * 30/  4√3 (√270 = √9 * 30)

60 √30/ 4√3

(60 √3 * √10) / 4√3 (√30 = √3 * √10)

60/4 √10 ( We cancel √3 in the numerator and in the denominator)

15√10

<u>The most simplified form is 15√10</u>

6 0
3 years ago
Which graph shows a strong negative correlation
postnew [5]
The one with the steepest slope going down from left to right
7 0
3 years ago
Other questions:
  • How to put irrational numbers on a number line
    7·1 answer
  • Is a y value a point, a horizontal line, a vertical line, or none of these? Explain your thinking.
    6·2 answers
  • Find all the zeros of the polynomial<br> H(x)=x(x^2-5x+6)
    11·1 answer
  • jessica delivers 20 pizzas each day on monday through saturday. she delivers 10 pizza on sunday. if december starts on a monday
    14·2 answers
  • Let P (n) be the statement that 12 + 22 + · · · + n2 = n(n + 1)(2n + 1)/6 for the positive integer n. a) What is the statement P
    14·1 answer
  • The person is 64 in. tall and casts a 48 in. Shadow. The tree casts 81 in. Shadow. How tall is the tree?
    14·2 answers
  • What is the sum of 5a2 - 4a + 3 and -7a2 +4a -6
    8·2 answers
  • The point (-3, 2) lines on a circle whose equation is (x + 3)2 + ( + 1)2 = r2. Which of
    8·1 answer
  • Find the area of the figure.
    14·1 answer
  • Can u welp me?<br><br><br>tnx in advance​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!