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Activity Discussion Math Algebra

  • Algebra

    Posted by Aanya 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?

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

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    June 24, 2023 at 5:24 pm
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    ::

    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 = 30
    x = 30/2
    x = 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 = 80
    30 + 5y = 80
    5y = 80 - 30
    5y = 50
    y = 50/5
    y = 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

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    June 24, 2023 at 5:20 pm
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    ::

    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.

  • Padma

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    June 24, 2023 at 8:21 pm
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    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

    Answer:

    The cost of a pen = 15 Rs

    The cost of a pencil = 10 Rs

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