Amit brought 18 pens and 6 dozen pencils for rupees 324 and Sumit brought 11 pens and 8 dozen pencils from the same shope for rupees 237.Find the cost of each pen and the cost of 1 dozen pencils.
Answers
Answer:
The cost of each pen is ₹ 15 and the cost of a dozen pencils is ₹9.
Step-by-step explanation:
Let the cost of each pen be 'x' and a dozen pencils be 'y'. Then,
18x + 6y = 324 ...(i)
11x + 8y = 237 ...(ii)
Multiply 8 to equation (i) and 6 to equation (ii),
144x + 48y = 2592 ...(iii)
66x + 48y = 1422 ...(iv)
Subtract (iv) from (iii),
144x - 66x + 48y - 48y = 2592 - 1422
78x + 0 = 1170
x = 1170 / 78
x = 15
Using x = 15 in (i)
(18 * 15) + 6 y = 324
270 + 6y = 324
6y = 324 - 270
6y = 54
y = 54 / 6
y = 9
∴ The cost of each pen is ₹ 15 and the cost of a dozen pencils is ₹9.
Answer:
The cost of each pen is ₹ 15 and the cost of a dozen pencils is ₹9.
Step-by-step explanation:
Let the cost of each pen be 'x' and a dozen pencils be 'y'. Then,
18x + 6y = 324 ...(i)
11x + 8y = 237 ...(ii)
Multiply 8 to equation (i) and 6 to equation (ii),
144x + 48y = 2592 ...(iii)
66x + 48y = 1422 ...(iv)
Subtract (iv) from (iii),
144x - 66x + 48y - 48y = 2592 - 1422
78x + 0 = 1170
x = 1170 / 78
x = 15
Using x = 15 in (i)
(18 * 15) + 6 y = 324
270 + 6y = 324
6y = 324 - 270
6y = 54
y = 54 / 6
y = 9
∴ The cost of each pen is ₹ 15 and the cost of a dozen pencils is ₹9.