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
harina [27]
3 years ago
11

Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 79.

Two adults and three children must pay $ 56. Find the price of the​ adult's ticket and the price of a​ child's ticket.
Mathematics
1 answer:
xxMikexx [17]3 years ago
3 0

<u>Answer:</u>

Price of the​ adult's ticket = $13

Price of a​ child's ticket = $ 10

<u>Step-by-step explanation:</u>

Given:

Cost of train fares for Three adults and four children = $79

Cost of train fares Two adults and three children  = $ 56

To Find:

Price of the​ adult's ticket and the price of a​ child's ticket =?

Solution:

Let the cost of one adult's ticket be x  and

Let the cost of one child's ticket be y

Then

Three adults and four children must pay $ 79 be

3x + 4y = 79-----------------------------------------------(1)

Two adults and three children must pay $56

2x + 3y = 56----------------------------------------------(2)

multiply  eq(1) by 2, we get

6x + 8y = 158----------------------(3)

multiply  eq(2) by 3, we get

6x + 9y = 168----------------------(4)

Subracting (3) from (4)

 6x + 9y = 168

 6x + 8y = 158

(-)      (-)       (-)

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

0x +  y = 10

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

y=10

Now substitute the value of y in eq (1) to get the value of x

3x + 4(10)= 79

3x +  40 = 79

3x = 79 - 40

3x = 39

x = \frac{39}{3}

x= 13

You might be interested in
Find the measure of the indicated angle to the nearest degree​
Harrizon [31]

Answer:

71°

Step-by-step explanation:

12/36 = 1/3

inverse cos(1/3) = 70.53 = 71

6 0
3 years ago
How do you find the area of a triangle?
guapka [62]
The formula to find the area of a triangle is

\frac{h_{b}b }{2}

If you have any more questions let me know!
7 0
3 years ago
Read 2 more answers
Triangle EFG has the following vertices E(1,2), F(4,2) and G(1,6). What are the new coordinates of triangle E’F’G’ after it is r
Fynjy0 [20]

Answer:

i dont know but

Step-by-step explanation:

DO ANYTHING FO CLOUTTTTTTTTTT

7 0
2 years ago
Find the median. 90, 88, 100, 82, 80.<br> PLEASE
Ludmilka [50]

Answer:

Step-by-step explanation:

80, 82, 88, 90, 100

Now cross out the numbers starting with 80 and 100 and keep going till you get the middle number which would be 88

5 0
3 years ago
Read 2 more answers
The African bush elaphent weighs between 4.4 tons and 7.7 tons What are it's least and greatest weighs , rounded to the nearest
True [87]
4.4=4 and 7.7=7.8 that's the answer
8 0
3 years ago
Read 2 more answers
Other questions:
  • Let a4+a8+a12+a16=224. Find the sum of first 19 term in sequence.
    13·1 answer
  • You pick a card at random what is p(3 or even)
    11·1 answer
  • A circle has a diameter of 24 units. What is the area of the circle to the nearest hundredth of a square unit?
    11·2 answers
  • Fundamental Theorem of Algebra...
    12·1 answer
  • Suppose the movie theater you work at sells popcorn I'm three different sizes. A small cost $2, a medium cost $5, and a large co
    14·1 answer
  • Teresa deposits $800 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in t
    11·1 answer
  • Question:
    7·1 answer
  • Plz, Help!!!!!!!!! Thank You
    13·1 answer
  • Which point is a reflection of M(-5, -6) across the y-axis?
    11·1 answer
  • A restaurant that specializes in pizza providA restaurant that specializes in pizza provides the following pricing table for a l
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!