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
monitta
3 years ago
12

Nicole runs a farm stand that sells bananas and peaches. Each pound of bananas sells for $2 and each pound of peaches sells for

$3.25. Nicole sold 3 more pounds of bananas than pounds of peaches and made $231.75 altogether. Write a system of equations that could be used to determine the number of pounds of bananas sold and the number of pounds of peaches sold. Define the variables that you use to write the system.
Mathematics
1 answer:
stepan [7]3 years ago
4 0

<u><em>Answer:</em></u>

<u>The required system of equations is:</u>

2x + 3.25y = 231.75

x = y + 3

where x is the number of pounds of bananas and y is the number of pounds of peaches

<u><em>Explanation:</em></u>

<u>1- Defining the variables:</u>

Assume that the number of pounds of bananas sold is x

Assume that the number of pounds of peaches sold is y

<u>2- Setting the system of equations:</u>

<u>We are given that:</u>

i. Each pound of bananas sells for $2

  Money gained from selling x pounds of bananas is 2x

ii. Each pound of peach sells for $3.23

   Money gained from selling y pounds of peaches is 3.25y

iii. Nicole made $231.75 in total. <u>This means that:</u>

    2x + 3.25y = 231.75 .................> equation I

iv. Nicole sold 3 more pounds of bananas than pounds of peaches. <u>This</u>

    <u>means that:</u>

    pounds of bananas = pounds of peaches + 3

    x = y + 3 ..................> equation II

<u>3- Solving the equations (if required):</u>

In equation II, we have: x = y + 3

<u>Substitute with equation II in equation I and solve for y as follows:</u>

2x + 3.25y = 231.75

2(y+3) + 3.25y = 231.75

2y + 6 + 3.25y = 231.75

5.25y = 231.75 - 6

5.25y = 225.75

y = 43

<u>Substitute with y in equation II to get x:</u>

x = y + 3

x = 43 + 3 = 46

<u>Based on the above:</u>

Number of pounds of bananas = x = 46 pounds

Number of pounds of peaches = y = 43 pounds

Hope this helps :)

You might be interested in
50 × 1% = _____
Scilla [17]
50 x 1% = 0.5
because 1% is equal to 1/100 so 50 x 1/100 is equal to 50/100 or 1/2 which is equal to 0.5
8 0
3 years ago
How to solve a system with variables
Margaret [11]
You can solve a system with variables by:

1. Pick any two pairs of equations from the system.

2. Eliminate the same variable from each pair using the Addition/Subtraction method


3. Solve the system of the two new equations using the Addition/Subtraction method


4. Substitute the solution back into one of the original equations and solve for the third variable


5. check by plugging the solution into one of the other three equations
6 0
3 years ago
Which of the following represents the graph of f(x) = 2x? (1 point)
kirza4 [7]

Answer:

The graph should look something like this.

Step-by-step explanation:

7 0
3 years ago
Which number rounds to 341 when rounded to the nearest whole number ​
nata0808 [166]

Answer:

341.5 because it makes the most sense

7 0
3 years ago
Read 2 more answers
PART A:
elixir [45]
A and C are complementary 
B is supplementary 
3 0
2 years ago
Other questions:
  • A point at (-5,7) in the standard (x,y) coordinate
    12·1 answer
  • 7/8 fraction into decimals
    15·2 answers
  • Use the normal distribution to compute probability with technology - Calculator Question Suppose that the annual household incom
    11·1 answer
  • Determine if each set of ordered pairs represents a function.
    6·2 answers
  • To the nearest tenth, what is the height of the square pyramid shown below?
    11·1 answer
  • A) La suma de dos números es menor que cuatro a+b&lt;4
    8·1 answer
  • Please help answer the math question below
    12·2 answers
  • Brandon enters bike races. He bikes 9
    9·1 answer
  • What is the value of x in the figure below? In this diagram, ABD ~ CAD.
    5·1 answer
  • the sat math scores of 1,000 future engineers and physicists are recorded. what will be the relationship between the mean and me
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!