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
azamat
3 years ago
7

Cherries $5 per pound and oranges per pound$2. He paid 18.00 for total weight which was 6 lbs how many pounds of cherries did Al

ex buy
Mathematics
1 answer:
wel3 years ago
5 0
Answer: 2 lbs of cherries

Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb

------------------------------------
Define x and y
------------------------------------
Let x be the number of lb of cherries
Let y be the number of lb of oranges

------------------------------------
Construct equations
------------------------------------
x + y = 6               ---------------------------- (1)
5x + 2y = 18         ---------------------------- (2)

------------------------------------------------------------------------
Solve x and y
------------------------------------------------------------------------
From equation (1):
x + y = 6 
x = 6 - y 

------------------------------------------------------------------------
Substitute x = 6 - y into equation 2
------------------------------------------------------------------------
5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4

------------------------------------------------------------------------
Substitute y = 4 into equation (1)
------------------------------------------------------------------------
x + y = 6
x + 4 = 6
x = 2

------------------------------------------------------------------------
Find the weight of cherries and oranges
------------------------------------------------------------------------
Cherry = x = 2 lb
Oranges = y = 4 lbs 

------------------------------------------------------------------------
Answer: Alex bought 2 lb of cherries
------------------------------------------------------------------------
You might be interested in
What is the volume of this sphere? use 3.14 for pi and round to the nearest hundredth when necessary.
Harrizon [31]

The volume of the sphere is 900 cm³

Step-by-step explanation:

  • Step 1: Given the diameter of the ball = 12 cm. Find radius.

Radius = diameter/2 = 12/2 = 6cm

  • Use the formula for volume of a sphere to find the volume.

Volume of the ball = 4/3 πr³

                              = 4/3 × 3.14 × (6)³

                              = 904.32 cm³ ≈ 900 cm³ (nearest hundredth)

4 0
3 years ago
Help me out ? it would help alot
Dafna1 [17]
The method that is not correct is brandon's method.
8 0
3 years ago
Read 2 more answers
There are 24 students in Ms. Woodall's class. 1/2 of the students are boys. 1/3 of the boys have brown hair. what is the number
-Dominant- [34]
4 boys have brown hair
8 0
3 years ago
Read 2 more answers
What is the volume of the cone? use 3.14
Svet_ta [14]
To find the volume of the cone use the formula:

3.14r^2 h/3

Final Answer:

20.93 cubic units
8 0
3 years ago
Question 29: In a club of 35 boys and 28 girls, 80% of the boys and 25% of the girls have been members for more than 2 years. If
klasskru [66]

Answer:

55%

Step-by-step explanation:

What we must do is get the total number of people, that is, boys and girls who have been a member for more than 2 years, that is:

children: 0.8 * 35 = 28

girls = 0.25 * 28 = 7

Now, passing knowing the%, would be dividing the sum of the above by the sum of the total club members:

(28 +7) / (35 + 28) = 0.55

Since it is a number below 1, it cannot be a mixed number.

3 0
3 years ago
Read 2 more answers
Other questions:
  • A certain package requires 3 centimeters of tape to be closed securely. What is the maximum number of packages of this type that
    13·2 answers
  • 15 pints and brilliant ranking.
    15·1 answer
  • Write an equation in slope-intercept form of the line that passes through (−2, 5) and (−4, −5).
    7·1 answer
  • 16.<br>(a)<br>Simply<br>3b + 5b - 2<br>​
    14·1 answer
  • 10 cookie someone eats 4 of them he ate what percentage of the cookies
    9·1 answer
  • I'm kinda stuck on this problem, help please???​
    14·2 answers
  • List the shapes in order of area from greatest to least. *
    13·1 answer
  • What's 5/4 + 1/4 in a mixed number answer. My calculator isn't functioning well. Thx!
    10·2 answers
  • Expand 3(c + 3).<br> 3(c + 3) =
    11·2 answers
  • Which of the following satisfy x ≥ 4.1? Select all that apply.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!