A man buys 2pens and 4 pencils and gives a hundred rupees note to shop keeper . Shopkeeper ask him to pay Rs10 more to take 4pens and 2pencils. If he bought 2pens and 3pencils how much would the man get back from shopkeeper?

  1. 👍
  2. 👎
  3. 👁
  1. cost of a pen --- x
    cost of a pencil -- y

    2x + 4y ≤ 100

    4x + 2y = (2x+4y) + 10
    2x - 2y = 10
    x-y= 5
    x = 5+y

    then back in 2x+4y<100
    or x+2y ≤ 50
    5+y + 2y ≤ 50
    3y ≤ 45
    y ≤ 15

    cost of 2 pens and 3 pencils
    = 2x + 3y
    = 2(5+y) + 3y
    = 10 + 5y

    there are multiple answers
    Make a chart showing
    x .. y (2x+4y) (4x+2y) (2x+3y)
    20 15 -- 100 -- 110 -- 85 , so change is 15
    19 18 -- 94 --- 104 -- 80 , so change is 20
    (If we assume that Rs 100 was the exact amount for 2pens and 4 pencils, then
    20, 15 is the correct answer.)

    If he bought 2 pens at 20 and 4 pencils at 15
    cost would be 100
    Had he bought 4 pens and 2 pencils, cost would be 110 which is 10 more as stated,
    so cost of 2 pens and 3 pencils is 85, resulting in change of 15

    the same can be done for each of the entries in the chart.

    1. 👍
    2. 👎
  2. Good

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Six gross of special drawing pencils were purchased for use in a department. If the pencils were used at the rate of 24 a week, the maximum number of weeks that the 6 gross of pencils would last is?

  2. English grammar

    Two hundred rupees (are/ is) are a lot of money. Ali along with his brother ( go / goes) goes to the shop. My aunt or my uncle ( is / are) is expected today.

  3. maths

    1. a man sells a tv for rupees 3450and makes a profit of 15% . he sells a second tv set at a loss of 10%.if on the whole he neither gains nor loses , find the cost price of the second tv. 2.a man sells two tables at the same

  4. Common Core Math7

    A school store has 1,200 pencils in stock and sells and average of 25 pencils per day. The manager reorders when the number of pencils in stock is 500. Write and solve an equation to find out how many days will pass before the

  1. math

    Mr. Smith buys pencils at Rs 250 per hundred and sells each at Rs 1.75.Findd his loss or profit. David bought 2 dozen eggs for Rs 56. Since 6 of them broke, he incurred a loss of Rs 20 on selling them. What was the selling g price

  2. 5 grade math

    An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, what is the weight, in pounds , of the case of wooden pencils?

  3. Math

    Abby plans to purchase pencils as prizes for the school fair. The pencils cost $11.52 per case or can be purchased individually. With her available money, Abby can either buy ten cases of pencils and eight individual pencils or

  4. math

    An office supply company is shipping a case of wooden pencils to a store. there are 64 boxes of pencils in the case. If each of pencils weighs 2.5 ounces, what is the weight, in pounds, of the case of wooden pencils?

  1. maths

    Ticket rate for the science exibition is 10rs for a child and 26 rupees for an adult. 740 rupees was got from 50person. How many children among them?

  2. Algebra

    Gerry had a total of 30 pens and pencils. He decided to trade with his friends all of his pens and pencils. If he traded every pen for 2 pencils, he would have 48 pencils in all. How many pens and how many pencils did he have

  3. English

    "My Brother's Keeper" by Jay Bennett The author of “My Brother’s Keeper” emphasizes Jamie’s conflict by describing the car accident in detail. detailing Jamie’s physical appearance and good grades. flashing back to

  4. math

    Laurie buys milk and bread for his family on the way home from school each day, paying with a $10 note. If he buys three cartons of milk and two loaves of bread, he receives 5 cents in change. If he buys two cartons of milk and

You can view more similar questions or ask a new question.