# Answer on Algebra Question for madiha

Question #3108

Safia bought 3 books and 5 pens for RS60. Each book costs 5 times as much as the pen,

find the cost of 2 books and 7 pens.

find the cost of 2 books and 7 pens.

Expert's answer

Safia bought 3 books and 5 pens for RS60. Each book costs 5 times as much& as& the& pen,& find the cost of 2 books and 7 pens.

Let 1 book cost a Rs and 1 pen cost b RS. Safia bought 3 books and 5 pens for RS60. So,

3*a+5*b=60.

Each book costs 5 times as much& as the pen, so

a=5*b.

So we get system

a=5*b

3*a+5*b=60

3*(5*b)+5*b=60 -> 20*b=60 -> b=60/20=3 RS.

Then 1 book cost

a=5*b=5*3=15 RS.

Let 1 book cost a Rs and 1 pen cost b RS. Safia bought 3 books and 5 pens for RS60. So,

3*a+5*b=60.

Each book costs 5 times as much& as the pen, so

a=5*b.

So we get system

a=5*b

3*a+5*b=60

3*(5*b)+5*b=60 -> 20*b=60 -> b=60/20=3 RS.

Then 1 book cost

a=5*b=5*3=15 RS.

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