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
user100 [1]
3 years ago
8

Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones fami

ly bought tickets for 2 adults and 1 child. How much does and adult and child ticket cost?
Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0

<em>An adult ticket costs $205 and a child ticket costs $49.</em>

<h2>Explanation:</h2>

Hello! Recall you have to write complete questions in order to find exact answers. Here I'll assume the complete question as:

<em>Two families are planning a trip to Disney. The Smith family bought tickets for 2 adults and 3 children for $557. The Jones family bought tickets for 2 adults and 1 child </em><em>for $459</em><em>. How much does and adult and child ticket cost?</em>

To solve this problem, we need to write a system of linear equations in two variables. So, we know some facts:

  • Two families are planning a trip to Disney.
  • The Smith family bought tickets for 2 adults and 3 children for $557.
  • The Jones family bought tickets for 2 adults and 1 child for $459.

Let:

x:Cost \ of \ ticket \ per \ adult \\ \\ y: Cost \ of \ ticket \ per \ child

For the Smith family:

Cost for the 2 adults:

2x

Cost for the 3 children:

3y

Total cost:

2x+3y=557

For the Jones family:

Cost for the 2 adults:

2x

Cost for the 1 child:

y

Total cost:

2x+y=459

So we have the following system of linear equations:

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\2x+y=459\end{array}\right.

Subtracting (2) from (1):

\begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-(2x+y=459)\end{array}\right. \\ \\ \\ \begin{array}{c}(1)\\(2)\end{array}\left\{ \begin{array}{c}2x+3y=557\\-2x-y=-459\end{array}\right. \\ \\ \\ (2x-2x)+(3y-y)=557-459 \\ \\ 2y=98 \\ \\ y=49 \\ \\ \\ Finding \ x \ from \ (1): \\ \\ 2x+3(49)=557 \\ \\ 2x=557-147 \\ \\ 2x=410 \\ \\ x=205

Finally, <em>an adult ticket costs $205 and a child ticket costs $49.</em>

<em></em>

<h2>Learn more:</h2>

System of linear equations: brainly.com/question/13799715

#LearnWithBrainly

You might be interested in
Use distributive property to write an expression that is equivalent to each expression. -8(-x-3/4y+7/2
Lesechka [4]

Answer:

  8x +6y -28

Step-by-step explanation:

The outside factor applies to each inside term, so the equivalent expression is ...

  -8(-x -3/4y +7/2) = 8x +6y -28

Applying the distributive property once again, we can also write the equivalent expression ...

  = 2(4x +3y -14)

__

There are an infinite number of other equivalent expressions. The problem statement is non-specific as to the acceptable form.

4 0
3 years ago
If y is 20, what is x?
vesna_86 [32]

When y=20 , x is −5.

8 0
3 years ago
Read 2 more answers
MARKING BRAINLIEST PL HURRY!!!!
Grace [21]
I think it's B my dude

925-400=525
525/8=65.625
65.625*100= $6,562.50
5 0
3 years ago
The population of a town after t years is represented by the function f(t)=7,248(0.983)tf(t)=7,248(0.983)t.
lidiya [134]

Answer:

The population of the town is 0.983 times the population of the town in the previous year.

B is correct.

Step-by-step explanation:

We are given a function which represent population of a town after t years.

f(t)=7248(0.983)^t

It is an exponential function. Exponential function wither decease or increase it depends on factor.

y=a\cdot b^x

b is factor which decides factor of exponential function decrease or increase.

  • If b >1 then function increase
  • If 0<b<1 then function decrease.

If we see our problem f(t)=7248(0.983)^t

Here, b=0.983<1

Function would be decrease by factor of 0.983

Thus, The population of the town is 0.983 times the population of the town in the previous year.

7 0
3 years ago
Read 2 more answers
Angle is in standard position and (-5, -7) is a point on the terminal side of 0.
vfiekz [6]

Answer:

Step-by-step explanation:

Don't use 0 as a substitute for θ.  0 is always 0.

cosθ = -5/(2√15)

secθ = 1/cosθ = -2√15/5

4 0
3 years ago
Other questions:
  • Whats the only place in this world whos fahrenheit and celsius degrees can be equal?
    6·2 answers
  • Brianna charges $15, $30,45 and $60 babysitting 1 2 3 and 4 respectively is the relationship between the amount charged and the
    12·1 answer
  • What is 99+1 x 4 worth 50 pts
    12·2 answers
  • Think of your favorite spot to get food from. You are going there to get your first meal after quarantine and the meal cost $35.
    13·1 answer
  • A mile is 5280 feet.
    12·1 answer
  • If AB is parallel to CD and the slope of CD is -8, what is the slope of AB?
    10·1 answer
  • Identify the vertex of the function f(x)=|x-1/2|-2
    11·1 answer
  • Given that (-4,9) is on the graph of f(x), find the corresponding point for the function f(4x)
    13·1 answer
  • Find the value of x and y:
    6·1 answer
  • Solve for x to the nearest tenth
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!