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jarptica [38.1K]
3 years ago
7

Jen butler has been pricing speed-pass train fares for a round trip to New York three adults and four children must pay $118 two

adults and three children must pay 84$ find the price of the adults ticket and the price of a child’s ticket
Mathematics
1 answer:
vitfil [10]3 years ago
6 0

Answer:

Adult’s ticket = $ 18

Child’s ticket = $ 16

Step-by-step explanation:

Adults: x

Children: y

(3x + 4y = 118) * (2) = 6x + 8y = 236

(2x + 3y = 84) * (-3) = -6x - 9y = -252

Add both equations:

-y = - 16

y = 16

3x + 4(16) = 118

3X + 64 = 118

3X = 118 - 64

X = 54/3=18

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Elimination method<br> 4x-2y=48<br> 2x+6y=-18
yulyashka [42]
4x-2y=48\\ \\ 2x+6y=-18

First we'll multiply the second equation by -2


-2\cdot (2x+6y)=-2\cdot -18\\ \\ -4x-12y=36

Now let's add the new equation and the first one.

(4x-2y)+(-4x-12y)=48+36\\ \\ 4x-4x-2y-12y=48+36\\ \\ -14y=84\\ \\ y=\frac { 84 }{ -14 } \\ \\ y=-6

We found y's value. We'll plug it in one of the equations to find x's value.

y=-6\\ \\ 4x-2y=48\\ \\ 4x-2\cdot -6=48\\ \\ 4x+12=48\\ \\ 4x=48-12\\ \\ 4x=36\\ \\ x=\frac { 36 }{ 4 } \\ \\ x=9

Solution ;

(9, -6)


4 0
3 years ago
Read 2 more answers
a certain bacteria populations doubles in size everyday. Suppose a sample starts with 500 bacteria. write an expression that mod
elena-14-01-66 [18.8K]

Answer:

16,000

Step-by-step explanation:

16,000 - answer

7 0
3 years ago
In the diagram below, AB is parallel to CD. What is the value of x?
Feliz [49]
The value of x is 150. I subtracted 180-30 to get 150.
5 0
4 years ago
Read 2 more answers
A number of robbers were discussing how best to share some stolen rolls of
kupik [55]

Answer:

83

Step-by-step explanation:

Let the number of robbers be x

If they share 6 rolls each, the tota rolls will be 6x and since they have five remainder, the overall total is then 6x+5

In case they share 7 rolls each, it means they have 7x rolls but here they will be less 8 rolls hence 7x-8 is the overall total.

Equating these two

7x-8=6x+5

Arranging similar terms

7x-6x=8+5

x=13

Therefore, the robbers are 13

The rolla they have will be

6(13)+5=83

Or

7(13)-8=83

6 0
3 years ago
Okay, last question! thank you for helping btw! B is the midpoint of AC if AB =3x-2 and BC= 6x-5 Find AC.
VashaNatasha [74]

Answer:

9x-7

Step-by-step explanation:

AB =3x-2

BC= 6x-5

AC=AB+AC

AC=(3X-2)+(6X-5)

AC=3X-2+6X-5

AC=3X+6X-2-5

AC=9X-7

4 0
3 years ago
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