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
musickatia [10]
3 years ago
6

Jordan paid $11.20 for 5 pears and 6 peaches.The cost of 3 prears is as much as 2 peaches. Find the cost of a pear and a peach.

Mathematics
1 answer:
Sophie [7]3 years ago
7 0
Alright, before we start this question, we're going to give pears the variable (x) and we're going to give peaches the variable (y) to make writing the equations a bit easier.

Now that we have the variables set up, we can write out the equations! From the first part we know that 11.20= 5x+6y and from the second part we know that 3x=2y.

Now what we need to do is to pick an equation to solve for. Using the second equation is a bit cleaner, so that's what we're going to start with. To solve for x, we need to divide both sides by 3, so we will end up with x=2/3y.

Now that we know that, we can substitute the x in the first equation for 2/3y, which changes the first equation to 11.20= 5*(2/3y)+6y. Now we can solve for y!

To do this, we can distribute the 5 to get rid of the parenthesis to change the equation to 11.20= 10/3y+6y. 

Next, we have to add up the coefficients of y, so to do that, the fractions have to have the same denominator. Right now, the 6y has a denominator of 1, and we can change this by multiplying the top and bottom by 3 to match the other y variable. Now we should have 11.20= 10/3y+18/3y, which adds up to get 11.20=28/3y

Next, we can get rid of the fraction in front of the y by multiplying both sides by 3, giving us 33.6=28y.

To get the final cost of the y, all we have to do is divide both sides by 28, which gives us y=1.2

Now, we can plug the y value into either of the equations we had way back at the start, so to make it a bit easier, I'll use the second equation again, which is 3x=2y. When we plug in the y, it becomes 3x=2*1.2, which simplifies to 3x=2.4

Finally, we can solve for x by dividing both sides by 3, which leaves us with x= 0.8 to go with our answer of y=1.2

Now we can go back and check what we decided what the x and y stood for, and when we know that, we can say that the price of a pear is $0.80 and the price of a peach is $1.20 for our answer!
You might be interested in
Geometric mean of 16 and 30
Nataly_w [17]

Answer:

The answer is 21.91

7 0
3 years ago
Read 2 more answers
Can someone give me a word problem for dividing these two fractions: 6 and 1/3
Alika [10]

Answer: 18

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Company A had a loss of $255 in January. Company B had a profit of $162 in January. What was the difference between the profits
Julli [10]

Answer:

The difference of the profit of two companies is $ 417

Step-by-step explanation:

Given as :

The company A loss amount in January = $ 255

The company B profit amount in January = $ 162

Let the difference between there profits = x

So, x = company B profit - ( company A profit)

I.e x = company B profit - ( - company A loss)

Or, x = $ 255 + $162

∴   x = $ 417

Hence The difference of the profit of two companies is $ 417  . Answer

6 0
3 years ago
Simplify the expression.<br> (x 3/2)6
Sliva [168]

For this case we must simplify the following expression:

(x ^ {\frac {3} {2}}) ^ 6

We have that by definition of properties of powers that is fulfilled:

(a ^ n) ^ m = a ^ {n * m}

Then, rewriting the expression:

x ^ {\frac {3 * 6} {2}} =\\x ^ {\frac {18} {2}} =\\x ^ 9

Answer:

(x^{\frac{3}{2}})^6=x^9

6 0
3 years ago
Three cards are chosen from a standard deck of 52 playing cards with replacement what is the orobsbility every card will be a he
Ne4ueva [31]
1/4 x 1/4 x 1/4 = 1/64

There is a 1/64 chance that they will all be hearts.
7 0
3 years ago
Other questions:
  • About how much more money is spent on strawberry and grape jelly than other types of jelly if strawberry and grape jelly is 366.
    11·1 answer
  • Help!! Need this question done in 20mins. I don't have a graphing calculator to give me the window screen!
    15·1 answer
  • Write at least 5 names for 1/4
    11·1 answer
  • Which problem shows how many groups of 9 are in 45?
    10·1 answer
  • What is the solution of /x+8 =-4?<br> x=-72<br> x= -66<br> x = 58<br> @ no solution
    11·1 answer
  • A box is a rectangular prism with a width of 24 inches and a height of 18 1/2 inches. The volume of the box is 10,656 cubic inch
    7·1 answer
  • 3 (x-5)+2 (3x+1)=45​
    15·1 answer
  • What is the value of the underlined digit mark all that apply 0.283 the underlined digit is eight
    5·2 answers
  • HEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPP
    6·1 answer
  • Convert this Percent to a Decimal 56% <br> A:0.56<br> B: 56<br> C:5.6<br> D:.65 <br> TwT
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!