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Represent the following situations mathe...

Represent the following situations mathematically:
(i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with.
A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particaular day, the total cost of production was RS.750. We would like to find out the number of toys produced on that day.

Text Solution

Verified by Experts

The correct Answer is:
(i) `x^(2)-45x+324=0(ii)x^(2)-55+750=0`
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Represent the following situations mathematically: (i) John and Jivanti together have 45 marbles. Both of them lost 5 marbles each, and the product of the number of marbles they now have is 124. We would like to find out how many marbles they had to start with. (ii) A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of toys produced in a day. On a particular day, the total cost of production was Rs 750. We would like to find out the number of toys produced on that day.

A cottage industry produces a certain number of toys in a day. The cost of production of each toy (in rupees) was found to be 55 minus the number of articles produced in a day. On a particular day, the total cost of production was Rs. 750. If x denotes the number of toys produced that day, form the quadratic equation to find x .

Knowledge Check

  • A has 50% more marbles than B. If A gives 40 marbles to B, then the difference of the number of marbles with both will be 16. Find the number of marbles with B.

    A
    192
    B
    128
    C
    Either (a) nor (b)
    D
    neither (a) nar (b)

  • A has 50% more marbles than B. If A gives 40 marbles to B, then the difference of the number of marbles with both will be 16. Find the number of marbles with B.

    A
    192
    B
    128
    C
    127
    D
    190

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    John and Jivanti together have 45 marbles. Both of them lost 5 marbles each,and the product of the number of marbles they now have is 128. Form the quadratic equation to find how many marbles they had to start with, if John had x marbles.

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