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
brilliants [131]
2 years ago
13

David had been pricing bus fares for a group trip to New York. Three adults and four children must pay $159. Two adults and thre

e children must pay $112. Find the price of an adult’s ticket and the price of a children’s ticket.
Mathematics
1 answer:
maw [93]2 years ago
4 0

Answer: adult ticket cost $51.5

Children's ticket cost $1.125

Step-by-step explanation:

Let x represent the cost of one adult ticket.

Let y represent the cost of one children's ticket.

Three adults and four children must pay $159. This means that

3x + 4y = 159 - - - - - - -1

Two adults and three children must pay $112. This means that

2x + 3y = 112 - - - - - - - 2

Multiplying equation 1 by 2 and equation 2 by 3, it becomes

6x + 8y = 318 - - - - - - - -3

6x + 24y = 336 - - - - - - -4

Subtracting equation 4 from equation 3, it becomes

-16y = -18

y = -18/-16 = 1.125

Substituting y = 1.125 into equation 1, it becomes

3x + 4×1.125 = 159

3x + 4.5 = 159

3x = 159 - 4.5 = 154.5

x = 154.5/3 = 51.5

You might be interested in
Write an equation of the line that passes through (-2, 8) and (-4, -4)
Nady [450]

Answer:

y=6x+20

Step-by-step explanation:


6 0
3 years ago
If there are 16 red bobbles for every 2 green dandees, how many red bobbles are there in 20 green dandees?
kvasek [131]

Answer:

160

Step-by-step explanation:

20 / 2 = 10

10 * 16 = 160

8 0
2 years ago
Without calculating would 0.4+(2+0.6)be less than, greater than,or equal to 3? Explain
masya89 [10]
The answer would be “Greater than.”
3 0
3 years ago
What has a greater percent of increase? 5 bonus points on 50 point exam or 5 bonus points on a 100 point exam?
yanalaym [24]
5 bonus on 50 is 5/50 *100%=10%
5 bonus on 100 is 5/100 *100%=5%
Answer: for 50 points.
8 0
3 years ago
Read 2 more answers
8. Misty created the number pattern below. 32, 28, 24, 20, ... If n represents a number in this pattern, which rule could be use
geniusboy [140]

Answer:

An = 32 - (4*(n-1))

Step-by-step explanation:

the starting term for this pattern is 32 (which you will need to include in the "rule")

you also know that the next term is the previous term - 4

so!

we can write this pattern as

An = 32 - (4*(n-1))

An = any number of term in the pattern

- ex). A2 = 28, A3 = 24, etc

n = the nth term

- the 3rd term = 24, the fourth term = 20, etc

4 0
2 years ago
Other questions:
  • When a snake hatched 4 years ago, it was only 5 inches long. Suppose it is now 3 foot 9 inches long. Given that the annual perce
    14·2 answers
  • Help Please
    13·2 answers
  • One month salary 10 rupess one person wroks only 1.5 day he wrok then how salary is come to her​
    14·1 answer
  • What's the rate of change of y=4x+7?
    7·2 answers
  • HELP???? I'm offering Brainliest. ​
    14·1 answer
  • The length of a iron-sheet and copper-sheet is 672 cm and 960 cm respectively.what will be the length of the highest piece of eq
    10·2 answers
  • 30) The triangle shown is translated to the left 3. What are the new coordinates of point B? My Answer:
    10·2 answers
  • The newly elected president needs to decide the remaining 5 spots available in the cabinet he/she is appointing. If there are 15
    14·1 answer
  • Sales tax in Rally County is 8%. What would the amount of tax be on a $50 restaurant bill? Express your answer in the form of a
    10·1 answer
  • Easy questions just a bit of help no rush 100 points to do this
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!