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
Marina86 [1]
3 years ago
14

A zoo train ride costs $3 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took

the ride was 30, and the total money collected was $50. What was the number of children and the number of adults who took the train ride that day, and which pair of equations can be solved to find the numbers?
Select one:
a. 20 children and 10 adults
Equation 1: a + c = 30
Equation 2: 3a + c = 50
b. 10 children and 20 adults
Equation 1: a + c = 30
Equation 2: 3a – c = 50
c. 20 children and 10 adults
Equation 1: a + c = 30
Equation 2: 3a – c = 50
d. 10 children and 20 adults
Equation 1: a + c = 30
Equation 2: 3a + c = 50
Mathematics
2 answers:
PIT_PIT [208]3 years ago
4 0
A=adult
c=children
total lumber=30
total number=adults+children
a+c=30

total cost=50
total cost=acost+ccost

acost=a times cost per adult=a times 3=3a
ccost=c times cost per child=c tiems 1=1c=c
total cost=3a+c
50=3a+c

equiaotn are
a+c=30
3a+c=50
multiplyu first by -1 and add
3a-a+c-c=50-30
2a=20
a=10
sub
10+c=30
c=20

answer is A
aniked [119]3 years ago
4 0
A=number of adults
c=number of children
we can suggest this system of equation:

a+c=30
3a+c=50

We can solve this system of equations by substitution method.
a=30-c

3(30-c)+c=50
90-3c+c=50
-2c=50-90
-2c=-40
c=-40/-2=20

a=30-20=10

Answer:
a. 20 children and 10 adults
Equation 1:    a+c=30
Equation 2:  3a+c=50
You might be interested in
Please help me with this problem please!!!!!!!!!!!!!!
777dan777 [17]

Answer:

Brain

Step-by-step explanation:

7 0
2 years ago
A candy company that makes colored candies claims that​ 10% of the candies it produces are green and that bags are packed random
melamori03 [73]

No. The sample size is too small to be reliable. If there were many bags of 500 candies that consistently showed a larger-than-marketed amount of green candy, that will be better proof.

6 0
3 years ago
On the same set of axes, use slope and y-intercept to graph each line in the system shown at right then find the points of inter
anygoal [31]

Answer:

Step-by-step explanation:

-x + 2 = 3x + 6

3x + 6 = -x + 2

4x + 6 =  2

4x = -4

x = -1

y = 1 + 2 = 3

(-1, 3)

6 0
2 years ago
12 batteries cost $17<br><br> Find the unit rate
Vedmedyk [2.9K]

Answer:

Step-by-step explanation:

17/12= 1.4166

Round so it’s 1.42

Unit rate= $1.42 PER battery

8 0
2 years ago
Can someone help me with this please??
Evgen [1.6K]

Answer:

z=20.8

x=16.97

y=12

Step-by-step explanation:

The triangle on the right is a 30,60,90 triangle, a special right triangle with simple rules to find the side lengths. sides A,B, and C where C is the hypotenuse (24 in your diagram). The short side A is= 1/2 of side C (12 in your diagram). The long side B is= side A*√3 (20.8 in your diagram).

The triangle on the left is another special right triangle called a 45,45,90. The rules for this triangle are C= A*√2, and B=A. Because of the rules in the 30,60,90 triangle, we know that side A is 12. This means that side B (y)=12. Side C (x)= 16.97.

Hope this helped! Sorry if my explanation is confusing, but the rules for special right triangles can be easily found online and then calculated :)

4 0
3 years ago
Other questions:
  • Yesterday, Brian had 97 baseball cards. Today, he got more. Using
    5·1 answer
  • Tracy found the length of GF. Her work is shown below.
    11·2 answers
  • A partnership owned equally by 5 shareholders worth $100,000. What percentage of the business
    14·1 answer
  • What is the rate of change for 2y=5x+10
    15·1 answer
  • Someone please explain number four thanks
    9·1 answer
  • The length of a classroom is 34 feet. What is this measurement in yards and feet?
    14·1 answer
  • I need help with this i need u to help ne wit the number line
    5·1 answer
  • Gareth has $2,000 to invest. Putting the money in a savings account at his local bank will earn him 2.2% annual interest and giv
    12·2 answers
  • The sum of two numbers is 72 and their difference is 40. Using elimination method
    13·1 answer
  • Find the measure of angle x in the figure below:<br><br> •15°<br> •25°<br> •30°<br> •60°
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!