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
boyakko [2]
3 years ago
5

Jen Butler has been pricing​ Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $ 99. 

 Two adults and three children must pay $ 70.  Find the price of the​ adult's ticket and the price of a​ child's ticket.
Mathematics
1 answer:
8090 [49]3 years ago
7 0

Answer:

An adult ticket is 17

A childs ticket costs 12 dollars

Step-by-step explanation:

Let a = adult price

c = child price

3a + 4c = 99

2a + 3c = 70

Multiply the first equation by 2

2(3a + 4c) = 99*2

6a + 8c = 198

Multiply the second equation by -3

-3 (2a + 3c) = 70*-3

-6a -9c = -210

Add these new equations together

6a + 8c = 198

-6a -9c = -210

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

     -c = -12

Multiply by -1

        c = 12

A childs ticket costs 12 dollars

Now we need to find the price of an adult ticket

2a + 3c = 70

2a + 3(12) = 70

2a +36 = 70

Subtract 36 from each side

2a +36-36 =70-36

2a = 34

Divide by 2

2a/2 = 34/2

a = 17

An adult ticket is 17

You might be interested in
Nine actors audition for four different parts in a play in how many ways can the director fill these roles ?
podryga [215]

Answer:126

Step-by-step explanation: your welcome

5 0
3 years ago
Rob has -180 points in a game. He gains one-fourth of his points back on his next turn and gains back an additional one-fifth of
Leya [2.2K]

Answer:not sure sorry

Step-by-step explanation: I need points

6 0
3 years ago
F is the midpoint of EG If EF = x + 2 and FG = 2x - 6, find<br> FG
mezya [45]

Answer:

FG = 10

Step-by-step explanation:

EF = x + 2 ; FG = 2x - 6

F is the mid-point of EG. So, EF = FG

=  > x + 2 = 2x - 6

=  > 2x - x = 6 + 2

=  > x = 8

FG = 2×8 - 6 = 10

8 0
3 years ago
Find the area of the garden.
Licemer1 [7]

Answer:

28yd²

Step-by-step explanation:

area of square = side *side

=6*6= 36²

area of rectangle (patio)= length* breadth

=4*2=8²

area of garden= area of square - area of rectangle

=36-8

=28 yd²

8 0
3 years ago
Read 2 more answers
Write an equation for the function that includes the following points (2, 32) and (3, 64)
luda_lava [24]

Answer:

y=32x-32

Step-by-step explanation:

this time no algorithm or equation was needed i saw that if the equation was y=32x there would be ordered pairs (1,32) and (2,64) so to delay it by 1  on the x side just subtract the slope from the y - intercept sorry if that doesn't make sense

6 0
3 years ago
Other questions:
  • The quotient of 5 subtracted from a number and 7 is 4.2?
    6·2 answers
  • Which statement best describes a secant of a circle?
    12·2 answers
  • Simplify 12 to the 3rd over 12 to the 7th.
    5·2 answers
  • 0.387 in a fraction in simplest form
    9·2 answers
  • Last week Karen spent $121.35 on food for her family. She only has $200 to spend every two weeks. How much does hse have left to
    13·2 answers
  • Which is true about the degree of the sum and difference of the polynomials 3x5y – 2x3y4 – 7xy3 and –8x5y + 2x3y4 + xy3?
    9·2 answers
  • Kevin must choose a number between 61 and 107 that is a multiple of 5, 8, and 10. Write all the numbers that he could choose. If
    10·1 answer
  • A bin at a department store contains blue and red blankets. The ratio of blue blankets to red blankets is 13 to 7. What percent
    5·1 answer
  • Need help will give brainlist
    15·2 answers
  • The price of a toy usually costing £50 to £65 work out the percentage increase FAST!!
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!