The total cost of 8 book and five Pence is 420 rupees and the total cost of 5 books and eight pens is 321 find the cost of one book and to pen.
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i) 420÷8= 52.5
ii) 321÷5= 64.2
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Answer:
BOOK = 45 AND PEN = 12
Step-by-step explanation:
let no. of pens be y and no. of books be x
∴8x + 5y = 420 ------------------- 1
5x + 8y = 321 ------------------- 2
Adding And Subtracting the equation
13x + 13y = 741 --------------3
3x - 3y = 57 --------------4
3 ⇒ x + y = 57 --------------5
4 ⇒ x - y = 33 ---------------6
Adding 5 And 6
2x = 90
x = 45
Substituting Value In 5
x + y = 57
y = 57 - 45
y = 12
∴ Cost of one book = 45
Cost of one pen = 12
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