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
nika2105 [10]
3 years ago
10

Mike went to a football game with his family. They bought 5 boxes of popcorn and 3 programs, and spent $41. Sean's family went t

o the same game, bought 3 boxes of popcorn and 2 programs, and spent $26. How much does each program cost at the game? How do I solve this?
Mathematics
1 answer:
slamgirl [31]3 years ago
8 0
EZ!

Let's say each box costs $X and each program costs $Y
Thus, Mike's family spent:
$(5X+3Y)
or
$41

Sean's family spent
$(3X+2Y)
or
$26

This yields us a system of two equations:
5x+3y=41
3x+2y=26

<span>5x+3y=41
</span>2y=26-3x

<span>5x+3y=41
</span><span>y=13-1.5x
</span>
5x+3(13-1.5x)=41
y=13-1.5x

5x+39-4.5x=41
<span>y=13-1.5x
</span>
0.5x+39=41
<span>y=13-1.5x
</span>
0.5x=2
<span>y=13-1.5x
</span>
x=4
<span>y=13-1.5x
</span>
x=4
<span>y=7
</span>
Each box costs $4 and each program costs $7
You might be interested in
Two numbers have a sum of -9. One number is x. What expression represents the other number?
Anika [276]
Assume that the other number is y.
we know that the addition of both number is -9
this means that:
x+y=-9
reorder this equation to seperate the y variable:
y=-9-x
3 0
3 years ago
please respond with the format showed on the picture so use . after the letter and display the answer
Elis [28]

Answer:

a. subtract 7 from 10

Step-by-step explanation:

parenthesis goes before everything in this equation

7 0
3 years ago
A dozen eggs cosy $1.32 at the grocery store .how much profit would a restaurant make if the sold 1 scramble egg for 99 cent
tatuchka [14]
What we know: A dozen costs 1.32; there are 12 in a dozen.
What we need to know: How much a restaurant makes selling 1 egg at 0.99.
First, find the value of one egg; you can do that by dividing the total cost (1.32) by the amount (12):
1.32 / 12 = 0.11    <--    The cost per egg is 11 cents. To find the profit of the restaurant, just subtract the cost from the price they sell it for:
0.99 - 0.11 = 0.88    <--    The profit the restaurant makes per egg is 88 cents.

Hope this helps.
5 0
3 years ago
5a+5b=25 and -5a+5b=35
Alex_Xolod [135]

add the two equations together

5a+5b=25

-5a+5b=35

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

 0  + 10b =60

divide by 10

b=6

5a + 5b = 25

5a +5(6) = 25

5a +30 =25

subtract 30 from each side

5a =-5

divide by 5

a = -1

Answer (-1,6)

or a=-1 b=6

3 0
3 years ago
8x+6+4x+38=180 what’s the answer
Pavlova-9 [17]

x= 34 /3  thats what I got 34/3=11.333333


7 0
3 years ago
Read 2 more answers
Other questions:
  • Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional
    12·1 answer
  • What is the value of 2 in 2,553?
    15·2 answers
  • Please answer! <br><br><br> What's the inverse of f(x) = 3x^3 - 4?
    5·1 answer
  • A rectangle an area of 52 square feet .the length is 9 feet longer than the width. What equation could use to represent this ?
    8·1 answer
  • A flight from houston to chicago is approximately 940 miles. A plane making this flight is traveling at an average rate of 485 m
    10·1 answer
  • Simplify √8 + 4/√3 pls help​
    9·2 answers
  • BC =<br> Round your answer to the nearest hundredth.<br> B<br> 200<br> ?<br> А<br> 4
    10·1 answer
  • Write the decimal as a fraction in simplest form.​
    15·1 answer
  • Warm-up question for math:
    8·1 answer
  • Please please please help <br>urgently needed!! ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!