Question

Asha has to spend Rs1300 when she purchases 10 story books and 20 puzzles

from a stationery shop for the children of an orphanage. However, if she urchases

15 story books and 15 puzzles, the amount spent is Rs 1350. Find the cost of one

story book and one puzzle. What values of Asha are depicted here.​

Answer 1

Answer:

cost of one book = ₹50 and cost of one puzzle is ₹40

Step-by-step explanation:

let the cost of one book be x

and cost of one puzzle be y

A.T.Q

10x + 20y = 1300. - 1

15x + 15y = 1350. -2

from 1

x =

$1300 - 20y \div 10$

x

$= 130 - 2y$

put in 2

15×(130-2y) +15y = 1350

1950 - 30y +15y = 1350

-15y = 1350-1950

-15y = -600

15y = 600

y =

$600 \div 15$

y = 40.

put in x = 130-2y

x = 130 - (2×40)

x = 130-90

x = 50

Answer 2

Step-by-step explanation:

cost of one book = ₹50 and cost of one puzzle is ₹40

Step-by-step explanation:

let the cost of one book be x

and cost of one puzzle be y

A.T.Q

10x + 20y = 1300. - 1

15x + 15y = 1350. -2

from 1

x =

1300 - 20y \div 101300−20y÷10

x

= 130 - 2y=130−2y

put in 2

15×(130-2y) +15y = 1350

1950 - 30y +15y = 1350

-15y = 1350-1950

-15y = -600

15y = 600

y =

600 \div 15600÷15

y = 40.

put in x = 130-2y

x = 130 - (2×40)

x = 130-90

x = 50