Saiqa spent a total of Rs. 280.75 on a book, a pen and a file. The pen cost Rs. 20.25 more than the file. The book cost Rs. 13.20 less than the pen. How much did she spend on the file and the pen?

Question

contestada

Respuesta :

rafikiedu08 rafikiedu08 · Answer 1 · 2022-09-23T09:31:02+02:00

The price of the file is Rs 89.18 and pen is Rs 109.43 as calculated from a linear equation .

An equation is said to be a linear equation if the maximum power of the variable is consistently 1.

Another name for it is a only one-degree equation is linear equation.
There are only one or two variables in a linear equation.
All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Let us consider the cost of the file be x dollars.

Then cost of the pen = x + 20.25

And cost of the book = x + 20.25 - 13.20 = x - 7.05

The cost of all three items together is 280.75

Now we will form a linear equation in x to find the cost of each of the pen, book and file separately.

x + x + 20.25 + x - 7.05 = 280.75

or, 3x + 13.20 = 280.75

or, 3x = 267.55

or, x = 89.18

Hence the cost of the file is approximately Rs 89.18

Cost of the pen = 89.18 + 20.25 = Rs 109.43

Cost of the book = x - 7.05 = 89.18 - 7.05 = Rs 82.13

To learn more about linear equations visit:

https://brainly.com/question/24267899

#SPJ9