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Activity Discussion Math Algebra

• # Algebra

Posted by on June 24, 2023 at 5:13 pm

Ann went to a shop to buy 2pens and 5 pencils. If the cost of 2 pens were 30 rupees and total cost of the purchase was 80 rupees. How much did one pen and pencil cost?

replied 3 months, 1 week ago 4 Members · 3 Replies
• 3 Replies
• ### Govind

Member
June 24, 2023 at 5:24 pm
1

Let the cost of one pen be x and one pencil be y.

Given that, the cost of two pens are 30 Rs.

Therefore,

`2x = 30x = 30/2x = 15`

Thus, the cost of one pen is 15 Rs.

Given that, Ann bought 2 pens and 5 pencils and the total cost is 80 Rs.

Therefore,

`2x + 5y = 80`

Substiute x = 15 in the equation,

`2(15) + 5y = 8030 + 5y = 805y = 80 - 305y = 50y = 50/5y = 10`

Thus, the cost of one pencil is 10 Rs.

Therefore, cost of one pen is 15 Rs. and cost of one pencil is 10 Rs.

• ### Suryansh

Member
June 24, 2023 at 5:20 pm
0

Let’s assume the cost of one pen is represented by ‘P’ rupees and the cost of one pencil is represented by ‘C’ rupees. According to the given information:

Ann bought 2 pens, so the total cost of the pens would be 2P rupees.

Ann bought 5 pencils, so the total cost of the pencils would be 5C rupees.

The total cost of the purchase was 80 rupees.

From the given information, we can form the equation:

2P + 5C = 80

We also know that the cost of 2 pens is 30 rupees:

2P = 30

To find the cost of one pen and one pencil, we need to solve this system of equations. We can start by solving the second equation for P:

2P = 30

P = 30/2

P = 15

Now, we can substitute this value of P into the first equation:

2P + 5C = 80

2(15) + 5C = 80

30 + 5C = 80

5C = 80 – 30

5C = 50

C = 50/5

C = 10

Therefore, one pen costs 15 rupees and one pencil costs 10 rupees.

Member
June 24, 2023 at 8:21 pm
0

Ann went to a shop to buy 2 pens and 5 pencils. If the cost of 2 pens was 30 rupees and total amount of her purchase was 80 rupees. How much did each pen and pencil cost?

Solution:

Let x be the cost of a pen.

Let y be the cost of a pencil.

The cost of 2 pens are 30 Rs.

So,the algebraic expression is

2x = 30

x = 30/2 = 15

The cost of a pen = 15 Rs

Ann purchase 2 pens and 5 pencils in total amount 80 Rs.

So, the algebraic expression is

2x+5y = 80

2*15+5y = 80

30+5y = 80

5y = 80-30

5y = 50

y = 50/5 = 10

The cost of a pencil = 10 Rs