Question

5 pencils and 7 pens cost together rupees 50 and 7 pencils and 5 pens together cost rupees 46 find cost of one pencil and pen
​

Answer 1

Answer:

price of each pen & pencils are respectively rs5 & rs3

Answer 2

o let the cost of one pen be x

let the cost of one pencil be y

5y+7x=50 .......1

7y+5x=46 .......2

adding 1 and 2

12y+12x=96

12(y+x)=96

(y+x)=96÷12=8

therefore the cost of one pencil and pen is rupees8

( 5y +7x=50)5 = 35x+25y=250

(7y+5x=46)7. = 35x+49y=322. (-)

••••••••••••••••••••••••

0 + 24y =72

y=3

substitute in 1

5(3)+7x=50

7x=35

×=35/7=5

therefore cost of one pencil is rupees 3,cost of one pen 5 rupees