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
svlad2 [7]
2 years ago
14

Jimmy purchased 15 tickets to a concert and spent $140. He purchased some children's tickets and some adult tickets. The childre

n's tickets cost $7 each and the adult tickets cost $12 each. Write a system that represents this situation. How many of each did Jimmy purchase?​
Mathematics
1 answer:
fiasKO [112]2 years ago
4 0

Answer:

Jimmy purchased 8 of the children's ticket and 7 of the adult's ticket.

Step-by-step explanation:

Let c = children tickets

Let a = adult tickets

<u>Given the following data;</u>

Number of tickets = 15

Total amount spent = $140

Cost of each children ticket = $7

Cost of each adult ticket = $12

*Translating the word problem into an algebraic equation (system)*

<em>For the total number of tickets;</em>

c + a = 15 .........equation 1

<em>For the total amount spent;</em>

7c + 12a = 140 ..........equation 2

*Solving the linear equation by using the substitution method*

<em>Making c the subject in equation 1:</em>

c = 15 - a .......equation 3

<em>Substituting "c" into equation 2;</em>

7(15 - a) + 12a = 140

<em>Simplifying the equation, we have;</em>

105 - 7a +12a = 140

105 + 5a = 140

<em>Rearranging the equation, we have;</em>

5a = 140 - 105

5a = 35

a = \frac {35}{5}

a = 5 (For the $12 adult ticket).

To find the number of children tickets;

Substituting "a" into equation 3;

c = 15 - 7

c = 8 (For the $7 children ticket).

You might be interested in
3) 18 + 9 + 19 x 19<br> I do not no how to do it
Degger [83]

Answer:

388

Step-by-step explanation:

  • 18+9+361
  • 27+361
  • 388
8 0
2 years ago
Read 2 more answers
Urn A has balls numbered 1 through 6. Urn B has balls numbered 1 through 4. What is the probability that a 4 is drawn from A fol
oksian1 [2.3K]
Drawing the tree diagram of the problem, we see that there are 6 branches for drawing from Urn A, and then 4 branches for each of the 6 branches, for drawing from Urn B.

This means that there are 6*4=24 possible outcomes, which could be listed as
{(1, 1), (1, 2), (1, 3), (1, 4), (2, 1)... (6, 3), (6, 4)},

where the first coordinates represent drawing from urn A, and the second coordinates, drawing from urn B.

(4, 2) is one of these 24, so the probability is 1/24


remark, this problem could also have been solved by the multiplication principle of the probabilities of separate events, that is 1/6 (probability of drawing 4 from Urn A) times 1/4 (probability of drawing 2 from B) = 1/24


Answer: 1/24

7 0
3 years ago
Read 2 more answers
(6+3)÷(4-5)Evaluate the following numerical expressions.
AlexFokin [52]

Answer: -9

Step-by-step explanation:

(6+3)÷(4-5)

Since 6+3 is 9 and 4-5 = -1

You do 9 divided by -1. It equals -9.

It is -9 since a positive divided by a negative number.

7 0
3 years ago
Find the x- and y-intercepts of the equation -5x+y=30
ArbitrLikvidat [17]

Answer:

all work is shown and pictured

6 0
2 years ago
Read 2 more answers
Using the number line below to compare the list of numbers. Place the numbers in increasing order.
Ivanshal [37]

Answer:

-2/5

-1.5

.3

1 4/5

Step-by-step explanation:

The higher the negatice number, the lower it is. Hope this helps:)

4 0
2 years ago
Other questions:
  • Which fraction is bigger 5/8 or 11/20
    14·2 answers
  • Sierra says that she can simplify the left side of the inequality 2(-3+ 5) + 22 -4(x- 2)- 3 by combining the terms within the pa
    11·1 answer
  • Simplify 24 - 15 - 3+ 2.6.<br> O A. 30<br> O B. 31<br> O C. 126<br> O D. 15
    10·1 answer
  • What is the product of a+3 and −2a2+15a+6b2?
    5·2 answers
  • Math heeeeellllloppp
    8·1 answer
  • These two triangles are congruent by<br> AAS<br> SSS<br> SAS<br> ASA
    6·2 answers
  • Express your answer in scientific notation 4.9x 10^5 - 5.8x 10^4
    15·1 answer
  • What do the numbers 13%, 10%, 0.125, and 1/5 have in common​
    13·2 answers
  • Need help please snazzy fast
    13·1 answer
  • Please help me.......asap
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!