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11Alexandr11 [23.1K]
3 years ago
7

you are selling snacks at the border trade fair. you are selling nachos and lemonade. each nachos costs $2.50 and each lemonade

cost $2.25. at the end of the night you made a total of $112.50. you sold a total of 94 nachos and lemonade combined. how many nachos and lemonades were sold?​
Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0

Answer:     12.5

Step-by-step explanation:

112.50 divided by 94 = 12.5 or 13

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A movie theater charges $10 for adults and $6 for seniors. On a particular day when 357 people paid in admission, the total rece
olganol [36]

Answer:

Step-by-step explanation:

Determine the types of tickets involved.

There are student tickets and adult tickets.

Create a table to organize the information.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student    

6

 

Adult    

9

 

1

,

506

 

Step 2. Identify what you are looking for.

We are looking for the number of student and adult tickets.

Step 3. Name. Represent the number of each type of ticket using variables.

We know the number of adult tickets sold was  

5

 less than three times the number of student tickets sold.

Let  

s

 be the number of student tickets.

Then  

3

s

−

5

 is the number of adult tickets.

Multiply the number times the value to get the total value of each type of ticket.

Type  

Number

   

Value ($)

   

Total Value ($)

 

Student  

s

   

6

   

6

s

 

Adult  

3

s

−

5

   

9

   

9

(

3

s

−

5

)

 

1

,

506

 

Step 4. Translate: Write the equation by adding the total values of each type of ticket.

6

s

+

9

(

3

s

−

5

)

=

1506

 

Step 5. Solve the equation.

6

s

+

27

s

−

45

=

1506

33

s

−

45

=

1506

33

s

=

1551

s

=

47

students

 

Substitute to find the number of adults.

3

s

−

5

=

 number of adults

3

(

47

)

−

5

=

136

 adults

Step 6. Check. There were  

47

 student tickets at  

$6

 each and  

136

 adult tickets at  

$9

 each. Is the total value  

$1506

?

 We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.

47

⋅

6

=

282

136

⋅

9

=

1224

_____

 

1506

✓

 

Step 7. Answer the question. They sold  

47

 student tickets and  

136

 adult tickets.

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