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
Select all relations that are functions from the choices below.<br> NEED ASAP!!
uranmaximum [27]
I think it’s B and C
6 0
3 years ago
The Mason family's bill for dinner is $55.73. How much should they tip their server? (Assuming they tip the normal 15%)
Lisa [10]

Answer:$8.36

Step-by-step explanation:

Change % to decimal and multiply

15% =.15

55.73 x .15 = 8.3595

5 0
3 years ago
24 students brought her permission slips to attend the class field trip is this represent at 8:10 to the class how many students
OlgaM077 [116]

Answer:

30 students

Step-by-step explanation:

24 over 80 is equal to x over 100

cross multiply and you get

80x =240

divide 80 on both sides

you get 3

add an extra sero

4 0
3 years ago
What is the slope intercept form of 16x+2y=12
-Dominant- [34]
So the slope intercept form is y=mx+b where m is slope and b is y intercept

so 16x+2y=12
subtract 16x from both sides
2y=12-16x
divide both sides by 2
y=-8x+6
slope is -8 and y intercept is 6
8 0
3 years ago
The perimeter of a square is 60 feet. Find the length of one side.
Luden [163]

Answer:

15 feet

Step-by-step explanation:

Perimeter = All outside lengths added together

We know that the shape is a square, and squares have 4 sides.

So, divide 60 by 4.

60 / 4 = 15.

The length of one side is 15 feet.

7 0
3 years ago
Read 2 more answers
Other questions:
  • Are parallelograms always squares.
    9·1 answer
  • When Harper commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 24 minutes and a
    7·1 answer
  • A scientist needs 60 liters of a 40% solution of alcohol. He has a 30% solution and a 60% solution available. How many liters of
    6·1 answer
  • Ken drew a pair of intersecting rays and marked a angle between them.
    7·1 answer
  • “ I need help with these . I’m trying my best so can u help .
    11·2 answers
  • Help asap!!!!!!!!!! Thank u
    5·1 answer
  • Can someone please find the volume of this shape and show work for how you did it??
    11·1 answer
  • $1,800 is 1.4% of what property value
    7·2 answers
  • Ava swam for 154 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 357 minutes. H
    9·2 answers
  • Please help!!!!!!!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!