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
Select all the expressions that are equivalent to 16x+36
kakasveta [241]
I believe it’s c and d
3 0
3 years ago
Read 2 more answers
How to get a factor of a number
weeeeeb [17]
For instance, the factors<span> of 15 are 3 and 5, because 3×5 = 15. Some </span>numbers<span> have more than one factorization (more than one way of being factored). For instance, 12 can be factored as 1×12, 2×6, or 3×4. A </span>number<span> that can only be factored as 1 times itself is called "prime".</span>
3 0
3 years ago
Does anyone know how to finish this equation?
nikdorinn [45]
Not sure what you mean?
6 0
3 years ago
What is the radical form of each of the given expressions? 4 1/7 AND 4 7/2 AND 7 1/4 AND 7 1/2 I WILL UPVOTE
PilotLPTM [1.2K]
Assuming these are 4^(1/7), 4^(7/2), 7^(1/4) and 7^(1/2), the conversion process is pretty quick. the denominator, or bottom, of your fraction exponent becomes the "index" of your radical -- in ∛, "3" is your index, just for reference. the numerator, aka the top of the fraction exponent, becomes a power inside the radical.

4^(1/7) would become ⁷√4  .... the bottom of the fraction becomes the small number included in the radical and the 4 goes beneath the radical
in cases such as this one, where 1 is on top of the fraction radical, that number does technically go with the 4 beneath the radical--however, 4¹ = 4 itself, so there is no need to write the implied exponent.

4^(7/2) would become √(4⁷)  ... the 7th power goes with the number under your radical and the "2" becomes a square root

7^(1/4) would become ⁴√7  ... like the first answer, the bottom of the fraction exponent becomes the index of the radical and 7 goes beneath the radical. again, the 1 exponent goes with the 7 beneath the radical, but 7¹ = 7

7^(1/2) would become, simply, √7
4 0
3 years ago
Write as an expression: a number that is equal to twice as much as x
lesantik [10]

Let's call the number we're looking for y. We know that y is twice as much as x.


Twice as much as a number simply means the double of that number, and in turn the double of a number means to muliply that number by 2.


So, in order to obtain y, you have to multply x by 2. In formula, you have


y = 2\cdot x or simply y = 2x

5 0
3 years ago
Other questions:
  • What is the nonpermissible replacement of y-3/y+3
    10·1 answer
  • Which ordered pair is a solution to the system of equations?<br> (2x - y=-2<br> (5x – 2y = 7
    15·1 answer
  • Need help with math
    9·2 answers
  • Someone help idk how to answer
    12·2 answers
  • Find the slope for the ordered pair: 5y=160+9x
    15·1 answer
  • Jamilla solved the inequality |x+b| 2 and graphed the solution as shown below. <br>Picture included
    10·2 answers
  • Match the equivalent expressions.
    14·1 answer
  • Help ASAP!!! A cayenne pepper stalk produces 4 peppers without adding fertilizer. The agriculture department establishes that th
    6·2 answers
  • Construct the graph of the direct proportion y = kx for k = -1
    8·1 answer
  • You are traveling in a car. Your speed is 40 miles per hour. What is your speed in feet per minute? Please explain
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!