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
Margarita [4]
3 years ago
5

One week Beth bought 3 apples and 8 pears for $14.50. The next week she bought 6 apples and 4 pears and paid $14. Find the cost

of 2 apple and the cost of 1 pear.
Mathematics
1 answer:
zalisa [80]3 years ago
5 0
Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
   = 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
   = 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
                           = 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.
You might be interested in
The area of a square is 84 square inches. What is the length, in inches, of one side of the square? Represent your answer using
Crazy boy [7]
The are of a square is determined by squaring the side. And the length will hence, be determined by square rooting the area. 
∴ length of this square is = √84 = 9.165
3 0
3 years ago
Write the equation 2y - 4x = 5 in the form y = mx + b.
notka56 [123]
Yea the answer is Y=2x+ 5/2
4 0
3 years ago
Suppose you are in a building at 28 feet above ground level and you take an
rewona [7]

Answer:

Suppose you are in a building at 28 feet above ground level and you take an

escalator down to ground level. On the escalator, your distance above ground level

changes by - 2 feet per second. Write a linear function to describe the distance d

that

you are from ground level over time t in seconds.

Step-by-step explanation:

4 0
2 years ago
Solve the following problem. Give the equation using x as the​ variable, and give the answer.
Vinil7 [7]

Answer:

A. 3x + (x+8) = -22 - 2x

Step-by-step explanation:

Let the number equal x.

Set up the first half of the equation.

The sum of three times the number and 8 more than the number can be written as:

3x + (x+8)

Sum means that you add the components.

Set up the second half of the equation.

The difference between -22 and twice the number can be written as:

-22 - 2x

Difference means subtraction, and because -22 is written first, that is the number that you subtract <em>from</em>.

If you set the halves of the equation equal, you get:

3x + (x+8) = -22 - 2x

Therefore, the answer is A.

5 0
2 years ago
Graph the solution of y-2&gt;1 on a number line
Angelina_Jolie [31]
First, you need to move 2 to the other side. You accomplish this by adding 2 to 1. You have y>3. Since your variable is smaller than 3, draw an open circle on the 3 mark and a squiggly line left of 3. 
8 0
3 years ago
Other questions:
  • Absolute power of x minus 8 equals -5 solve
    7·2 answers
  • PLEASE HELP 100 POINTS!!!
    10·2 answers
  • How are the two angles below related? A) Drawing not to scale. B) complementary .C) supplementary. D) adjacent. E) vertical
    9·1 answer
  • PLEASE IT IS EASY 6TH GRADE MATH PLEASE HELP! What is the answer?
    6·1 answer
  • What does 21/8= as a mixed number?
    14·2 answers
  • Lulu made 10 pounds of Unicorn Slime and divided the slime equally among 6 jars. How much slime went in each jar?
    10·2 answers
  • Can 3 4 12 make a right triangle
    15·2 answers
  • What is 2+2 I need ans​
    11·2 answers
  • Question 1. Philant sleeps 3/8 of each day. He spends 1/3 of each day at work. What fraction of his day is he not sleeping or wo
    7·1 answer
  • Solve 7c+10=17c A.) c=1B.) c=-1C.) C= -<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D%20" id="TexFormula1" title="
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!