at a supermarket , Monica paid 3.20 for 2 pounds of apples and 2 pounds of oranges, while Sarah paid 4.40 for 2 pounds of apples and 4 pounds of oranges. At these rates, what is the cost , in dollars, for 3 pounds of oranges?

Answers

Answer 1
Answer:

The cost , in dollars, for 3 pounds of oranges is 1.8

Solution:

Given that Monica paid 3.20 for 2 pounds of apples and 2 pounds of oranges

Sarah paid 4.40 for 2 pounds of apples and 4 pounds of oranges.

Let the cost of orange per pound = x  

Let the cost of apple per pound = y  

Therefore, we can frame an equation as follows for Monica and Sarah:

In Monica’s case:  

2x + 2y = 3.20  

Hence x + y = 1.6 ---- eqn 1

In Sarah’s case:  

4x + 2y = 4.40  

Hence 2x + y = 2.2

y = 2.2 -2x – eqn 2

Substitute eqn 2 in eqn 1 we get,

x + 2.2 -2x = 1.6

-x = 1.6-2.2 = -0.6

x = 0.6

Substituting the value of “x” in eqn 2 we get the value of “y” as 1

Thus the cost of orange per pound is 0.6

Therefore, cost of 3 pounds of oranges = 3 × 0.6 = 1.8


Related Questions

Which expression is a difference of squares with a factor of 2x + 5?0 4х2 + 10o 4х2 – 10o 4х2 + 25o 4х2 – 25
What angles does a triangle have
What is the value of the expression when p = -16 and q = -2? P/4q
Write the nunber 0.035 as a percent3.5%0.35%35%0.035%
OMG HELP ME PLEASE A card was selected at random from a standard deck of cards. The suit of the card was recorded, and then the card was put back in the deck. The table shows the results after 40 trials.What is the relative frequency of selecting a club?Outcome                  Club Diamond Heart SpadeNumber of trials           8       12         11       9A.17%B.20%C.25%D.30%

The location of a post office is marked at (2,2) on a coordinate grid. Which point is about 18 units from the location of the post office?L(-12,9)
M(12,9)
N(12,-9)
P(-12,-9)

Answers

The answer would be-12,9

Snow fell at a rate of 3/4 an inch/hour. how much snow fell in a period of 6 hours

Answers

that implies a simple multiplication:
snow = (3/4)(6) = 4.5 inch
and note the units elimination in the operation as well:
 = [inch/hour][hour] = inch

Please answer these that i circled. If you cant see them tell me. Tell me the ones you can see.

Answers

#6 is 6, #7 is 7, #8 is 2

nolan divides his 88 toy cars into boxes to donate for a toy drive each box holds exactly 9 toy cars if only filled boxes can be shipped how many toy cars will not be shipped

Answers

7 toy cars will not be shipped 

9 x 9= 81
88 - 81=7
So 7 cars won't be shipped
Hope this helps :)

Which is a factor of 6x2 + x − 7? x + 1, 2x + 1, 6x + 7 ,3x + 7

Answers

Answer:

The correct answer is 6x +7

Step-by-step explanation:

It is given a polynomial  6x^2 + x − 7

Factorization of  6x^2 + x − 7

Using splitting method

6x^2 + x − 7 =  6x^2 - 6x  + 7x − 7

= 6x(x - 1) + 7 (x - 1)       (take 6x and 7 as common)

= (x - 1)(6x +7)

Therefore the factors of  6x^2 + x − 7 are (x - 1) and (6x + 7)

Therefore the correct answer is (6x + 7)

Answer:

6x+7

Step-by-step explanation:

If you factor this quadratic,

your 2 factors are:

(6x+7)(x-1)

How do you make 28/6 in to a mixed fraction in simplest form

Answers

28/6 is 4 2/3 in simplest form

The way we arrive at this answer is
6 can be divided from 28 at least 4 times maximum.
6 times 4 is 24.
28 - 24 = 4.
The 6's that have been taken away from the fraction becomes 1's, because 6/6 is equivalent to 1.
Therefore, 1 times 4 is 4, because we had taken away from the fraction 4 times.
What you get is 4 4/6. However, that is not in simplest form yet.
4/6 can be simplified to 2/3 by dividing by two.

The answer you should get is 4 2/3
You do 6 divided by 28 Which is 4 than the mixed number is 4 and the fraction is 6/28