Question 4869: four oranges and five apples cost $3.56. Three oranges and four apples cost $2.76. find the cost of an apple and the cost of an orange.
Answer by jainenderkapoor(61)   (Show Source):
You can put this solution on YOUR website! Whenever this type of problem comes. Follow the simple steps mentioned below and get the answer.
Define two variables x and y (x representing cost of orange and y representing cost of apple)
Now if the cost of 1 orange is x, what is the cost of 2 oranges ??
YES it is 2x and COST of three oranges becomes 3x
So we can write the following two equations ---
4 x + 5 y = 3.56 ----- (1)
3 x + 4 y = 2.76 ----- (2)
Now our aim is to solve the two equations to get the value of x and y
We can use the either of the methods graphical methoid/ elimination method/ or equating the coefficients method
I am explaining the equating the coefficient method here.
We will be multiplying the first equation by `3`, which is the coefficient of x in the second equation, AND multiplying the equation 2 by `4`, which is the coefficient of x in first equation.
4 x + 5 y = 3.56 ----- (1) X 3
3 x + 4 y = 2.76 ----- (2) X 4
We get 12 x + 15 y = 10.68 ----- (3)
12 x + 16 y = 11.04 ----- (4)
On subtracting (3) from (4) we get
12 x + 16 y - 12 x - 15 y = 11.04 - 10.68
y = 0.36
Substituting the value of y in (1) or (2) we can get the value of x
(1) -- 4 x + 5 (.36) = 3.56
4 x + 1.8 = 3.56
4 x = 3.56 - 1.8 = 1.76
x = 1.76/4
x = 0.44
THIS IS HOW WE SOLVE THE QUESTION.
HOPE IT IS CLEAR TO YOU. IF YOUR NEED MORE HELP, I AM AVAILABLE FOR ONLINE TUTORING ALSO. YOU CAN CONTACT ME ON kapoorjai1@rediffmail.com
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