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
Digiron [165]
3 years ago
9

Leah and Ashley go to the movie theater and purchase refreshments for their friends

Mathematics
1 answer:
klasskru [66]3 years ago
6 0

Answer:

The required system of equations is:

5 m+   7  n = 113.75  

6 m +   14  n  =  185.50

The price of 1 bag of popcorn  = $10.5

The price of 1 drink   = $8.75

Step-by-step explanation:

Let us assume the cost of 1 bag of popcorn = $ m

And, the cost of 1 drink = $ n

Now, Leah spends a total of 113.75 on 5 bags of popcorn and 7 drinks.

Cost of 5 bags + 7 drinks = 5 m +   7  n  =  $ 113.75

⇒ 5 m+   7  n = 113.75   .. (1)

Also, Ashley spends a total of 185.50 on 6 bags of popcorn and 14 drinks

Cost of 6 bags + 14 drinks = 6 m +   14  n  =  $185.50

⇒  6 m +   14  n  =  185.50   .. (2)

So, here the system of equations that can be used to find the price of one bag of popcorn (m) and the price of one drink (n) are

5 m+   7  n = 113.75   .. (1)

6 m +   14  n  =  185.50   .. (2)

Now, to solve this, Multiply (1) with -2 and add with 2, we get:

-10m + 6m - 14 n + 14 n = 185.5 - 227.5

or, - 4  m = -42 , or m = 42/4 = 10.5

Putting the value of m = 10.5 in 5 m+   7  n = 113.75 , we get n = 8.75

Hence,  the price of 1 bag of popcorn  = m = $10.5

And the price of 1 drink  = n = $8.75

You might be interested in
Which shows the correct way to use expanded form to multiply 38,070 × 100?
Arada [10]

Answer:

domt know which one but this may help

Step-by-step explanation:

when you take 38707 into consideration the 3 would be 30,000 the 8 would be 8,000 and the 7 would be 70

7 0
3 years ago
Can someone please help me?
diamong [38]

Answer:

195 answer.plus minus plus minus plus minus

8 0
2 years ago
Identify the graph described by the function P(x)=x/10<br> for x =1.2,3, and 4
laila [671]
It’s the first graph or A
5 0
2 years ago
Which expression is equivalent to 2cos2(x/2)-cos(x)
Pavel [41]

Answer:

B

Step-by-step explanation:

Edge

3 0
2 years ago
I can't figure this question out I've tried multiple times but only 2/3. Help, please.
Scrat [10]

Answer:

yes it is 2/3

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • AWNSER PLS AM A IDIOT
    6·2 answers
  • What’s the correct answer
    14·1 answer
  • Enter an inequality that represents the graph in the box.
    15·1 answer
  • Please help!!! Pythagorean theorem!!!!
    12·1 answer
  • Find the measure of ∠C if ∠A = 5 2 x + 30 ∠B = 7 2 x + 40 ∠C = 9 2 x + 10 ∠D = 5 2 x + 20 A) 70° B) 80° C) 90° D) 100°
    9·2 answers
  • What is 4(p+8) equals -4p?
    8·1 answer
  • A ball is kicked into the air and follows the path described by h(t)= – 4.9t^2 + 6t + 0.6, where t is the time in seconds and h
    15·1 answer
  • What will the answer be
    6·2 answers
  • You are conducting a case study on a school with the highest SAT scores in the state prior to going to the school you conduct qu
    14·1 answer
  • PLS PLS PLS PLS HELP 15 POINTS
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!