shalini purchased compass box and pen for rs 40 .if she had paid rs 5 more to buy compass box and paid 3 less to pen the product of their cost would be rs 360 find the cost of compass box and pen
Answers
Answer:
Step-by-step explanation:
Given Shalini purchased compass box and pen for rs 40 .if she had paid rs 5 more to buy compass box and paid 3 less to pen the product of their cost would be rs 360 find the cost of compass box and pen
Let the compass box be x and pen be y. According to the question
x + y = 40 and (x + 5)(y - 3) = 360
y = 40 - x
So taking (x + 5)(y - 3) = 360
(x + 5)(40 - x - 3) = 360
(x + 5)(37 - x) = 360
37 x + 185 - x^2 - 5 x = 360
- x^2 + 32 x - 175 = 360
x^2 - 32 x + 175 = 0
x^2 - 25 x - 7 x + 175 =0
x(x - 25) - 7(x - 25) = 0
(x - 25)(x - 7) = 0
x - 25 = 0 and x - 7 = 0
x = 25, 7
So y = 40 - x
y = 40 - 25 or y = 40 - 7
y = 15, 33
The cost of compass box is rs 25 and pen is rs 15
Answer:
Step-by-step explanation:
Shalini purchased compass box and pen for rs. 40
Let be the compass be x and pen be y
X + Y = 40
Y = 40 -X .....(1)
If she paid 5 more to buy compass box = (X+5)
She paid less 3 to buy pen = (y-3)
And their produt is 360
So,
(x+5) (y-3) = 360
Putting the value of y in this equation
(x+5) (40-x -3)= 360
(x+5) (37-x) = 360
37x -x²+ 185 -5x + 360
32x - x² = 360 - 185
32x - x ²= 175
32x - x² -175 = 0
x² - 32x + 175 = 0
x² - 25x - 7x + 175 = 0
x(x-25)- 7(x-25 ) = 0
x-25 =0, x-7 = 0
x = 25 ,7
So y = 40 - x
y = 40 - 25 or y = 40-7
y= 15 or y= 33
So we take 25 , 15 because their sum is 40
Cost of compass be 25 and pen is 15.