Question

30. Rani went to a mart and bought some items for her showcase. On returning, she met her old friend to whom
she told the number of flower vases I bought is two more than three times the number of dolls I purchased
And also the number of dolls, I purchased is two less than half of the total number of vases. If the cost of
single flower vase is Rs 10 and her total cost is Rs 94, find the cost of single doll and find how many vases and​

Answer 1

Answer:

Number of flower vases, x= 8

Number of dolls, y = 2

Step-by-step explanation:

Let the number of dolls be y.

Let the number of flower vases be x.

Now, According to the question, we have:

             x= 2 + 3y

            x - 3y = 2 _______(i)

             y= x/2 - 2

            2y - x = - 4 ________(ii)

Subtracting (ii) from (1), we get:

            x - 3y= 2

        -   x + 2y= - 4

      ______________

                 - y = - 2

                  y = 2

Now, substituting the value of y= 2 in eq. (i) we get:

             x - 3y = 2

             x - 3 × 2 = 2

             x = 8

Now, let the cost of doll be 'a'. Then,

           10x + ay = 94

           80 + 2a = 94

           2a = 94 - 80

           2a = 14

           a = 14/2 = 7

∴ Cost of doll = Rs. 7.

Also, x = 8 and y = 2.