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
Alborosie
3 years ago
5

6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a

system of equations and solve to find out the cost for each pound of apples and each pound of oranges.
Mathematics
1 answer:
vitfil [10]3 years ago
8 0

Answer:cost of each pound of apple= $3

And cost of each pound of orange =$2

Step-by-step explanation:

Step 1

Let cost of apples = x

And cost of Oranges =y

Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as

6 x + 3y= 24----- equation 1

Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as

5x+ 4y= 23----- equation 2

Step 2

6 x + 3y= 24----- equation 1

5x+ 4y= 23----- equation 2

Using substitution method to solve the equation

6 x + 3y= 24

24-6x=3y

y= 24-6x/3 = 8-2x

Y= 8-2x

Substituting the value of y= 8-2x  into equation 2

5x+ 4( 8-2x)= 23

5x+ 32 -8x= 23

32-23= 8x-5x

9=3x

x=9/3

x=3

Putting the value of x= 3 in equation 1 and solving to find y

6 x + 3y= 24

6(3) +3y= 24

18+3y=24

3y= 24-18

3y=6

y=6/3= 2

Therefore the cost of each pound of apple= $3

And cost of each pound of orange =$2

You might be interested in
sammys mother is 2 years more than 3 times as old as sammy. their combinied age is 42. how old are sammys mother and sammy
kozerog [31]
Sammy's mother is 32 and Sammy is 10.
6 0
3 years ago
What is the solution to the compound inequality in interval notation?
Eduardwww [97]
First solve the 2 inequalities for x:-

x > 0  or x <= -5


The last choice is the correct one.
5 0
3 years ago
Read 2 more answers
Solve the following proportion for y.<br> y/9 = 8/11<br> Round your answer to the nearest tenth.
jek_recluse [69]
Answer: 6.5

6.5/11 ≈ 8/11
8 0
2 years ago
In parallelogram WXYZ, what is CY?<br> 11 ft<br> 15 ft<br> 21 ft<br> 23 ft
erastovalidia [21]

Answer:

15 ft

Step-by-step explanation:

In a parallelogram the diagonals bisects each other

So WC= CY

x+4=2x-7 solve the equation for x

Subtract x from both sides

x-x+4=2x-x-7

4=x-7

Now we add 7 on both sides

4+7=x-7+7

x=11

Now we need to find CY

CY= 2x-7

Plug in 11 for x

CY= 2(11)-7=22-7= 15

6 0
3 years ago
Read 2 more answers
HELP ME PLEASE I NEED TO PASS THIS
irga5000 [103]

Answer:

i believe the answer is D

5 0
3 years ago
Read 2 more answers
Other questions:
  • Find an equation of the line l that contains the points left parenthesis 0 comma 0 right parenthesis(0,0) and left parenthesis 3
    15·1 answer
  • A grain distributor can process 14.6 tons of grain an hour.How much can the distributor process in 8.75 hours?
    8·1 answer
  • Can someone help me solving this equation for x please
    9·1 answer
  • Help with 2 and 3<br> Please help
    10·1 answer
  • A box contains red and blue chips. There are 2 more blue chips than red chips. If the number of red chips is tripled and the num
    10·1 answer
  • Solve for x: log(3x) + log(x + 4) = log(15).
    10·2 answers
  • Venice cycled for 8.45pm to 2.15am how long did she cycle for
    6·1 answer
  • Four billion, five hundred and seventy million. write this number in figures​
    5·2 answers
  • Here are the percents of the popular
    13·1 answer
  • Sylvia launches a bottle rocket into the air. The function h(t)= 115t-16t^2 gives the height of the bottle rocket, in feet, seco
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!