. 5 pens and 1 book together cost Rs. 225. Cost of 10 pens is equal to the cost of 1 book. Find the total cost of 3 pens and 2 books.
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let the cost of one pen is x
let the cost of one book is y.
Given : five pens and one book together cost Rs 225 and cost of ten pens = cost of one book
Form equations -
5x + y = 225 ------ (1)
10x = y -------------- (2)
solving the value x -
5x + 10x = 225
15x = 225
x = 225/15
x = 15.
Substitute the value of x in (2) equation-
10x = y
10(15) = y
y = 150.
Hence ,
cost of 1 pen is Rs 15 and cost of 1 book is Rs 150
Finding cost of 3 pens -
1 pen = 15
3 pens = 3 x 15 = Rs 45 .
Finding cost of 2 books -
1 book = 150
2 Books = 150 x 2 = Rs 300
Total cost of 3 pens and 2 books -
300 + 45 = 345.
let the cost of one book is y.
Given : five pens and one book together cost Rs 225 and cost of ten pens = cost of one book
Form equations -
5x + y = 225 ------ (1)
10x = y -------------- (2)
solving the value x -
5x + 10x = 225
15x = 225
x = 225/15
x = 15.
Substitute the value of x in (2) equation-
10x = y
10(15) = y
y = 150.
Hence ,
cost of 1 pen is Rs 15 and cost of 1 book is Rs 150
Finding cost of 3 pens -
1 pen = 15
3 pens = 3 x 15 = Rs 45 .
Finding cost of 2 books -
1 book = 150
2 Books = 150 x 2 = Rs 300
Total cost of 3 pens and 2 books -
300 + 45 = 345.
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