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
Delvig [45]
3 years ago
15

CAN ANYONE HELP ME PLEASE? Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and fo

ur children must pay $106. Two adults and three children must pay $75. Find the price of the​ adult's ticket and the price of a​ child's ticket.
Mathematics
1 answer:
arsen [322]3 years ago
4 0

Answer:

The adult ticket costs $18 and the children ticket costs $13.

Step-by-step explanation:

Let the price of the adult ticket be a.

Let the price of the children ticket be c.

Three adults and four children must pay $106. This implies that:

3a + 4c = 106 _______(1)

Two adults and three children must pay $75. This implies that:

2a + 3c = 75 ________(2)

We have two simultaneous equations:

3a + 4c = 106 _____(1)

2a + 3c = 75 ______(2)

Multiply (1) by 2 and (2) by 3 and subtract (1) from (2):

  6a + 9c = 225

- <u>(6a + 8c = 212)</u>

             c = $13

Put this value of c in (2):

2a + 3*13 = 75

2a + 39 = 75

=> 2a = 75 - 39

2a = 36

a = 36/2 = $18

Therefore, the adult ticket costs $18 and the children ticket costs $13.

You might be interested in
What is -3+5+6g=11-3g solve for g
vitfil [10]

Answer: g = 1

Step-by-step explanation:

-3 + 5 + 6g = 11 - 3g

First, we need to combine like terms

-3 + 5 = 2

2 + 6g = 11 - 3g

Add 3g to each side

2 + 9g = 11

Subtract 2 from each side

9g = 9

Divide each side by 1

g = 1

8 0
2 years ago
Read 2 more answers
the temperature started at 89°f. if the temperature went up 6°f and then down 12°f, how many degrees above or below the high is
Sonja [21]
The answer is 6 degrees below the high. 
89+6=95
95-12=83
4 0
2 years ago
2. Consider the function g(x) = A. f(x) + D.
Vikentia [17]

Answer:

I think the answer is A

goodluck

3 0
3 years ago
Help me u know who you are
BabaBlast [244]

Answer:

B

Step-by-step explanation:

In a parellelogram opposite angles are always equal

6 0
3 years ago
What is 1/8 of the sum of 28 and 43
victus00 [196]
1/8 of anything is just 1/8 * anything, so   \bf \cfrac{1}{8}\times (28+43)
3 0
3 years ago
Other questions:
  • What is the area, in square units, of triangle QRS?.
    15·1 answer
  • What are three other expressions that are equivalent to 8x-12
    7·1 answer
  • What is the factor of 24 but not a multiple of 8
    12·2 answers
  • Please solve this 6-3 log2n=0
    10·2 answers
  • Can you help with these two? And can you explain how to do these?
    5·1 answer
  • The sum of three and four tenths and a number is six and six tenths.
    11·2 answers
  • Point I is on line segment HJ. Given HI = x, IJ = 2x + 9, and H J = 4x,
    13·1 answer
  • How do you say -3.14 in English
    10·1 answer
  • Which must be true? Select all that apply.
    12·1 answer
  • Subtract.<br><br> −139.6−140.03<br><br> Enter your answer in the box.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!