Question

Nancy buys 15 meters of ribbon and her sister buys 6m less ribbon but pays twice as much per metre. Between them the pay R6.00. What is the price per meter of two different types of ribbon?

Answer 1

Given :

Length of ribbon bought by Nancy = 15 meters

Length of ribbon bought by her sister = 6 m less

                                                               = 15 - 6 = 9 meters

Amount paid by Nancy = Rs x

Amount paid by her sister = twice of Nancy's amount

                                            = Rs 2 x

Total amount paid for the ribbon = Rs 6

To Find :

Price per meter of two different types of ribbon

Solution :

∵ Total amount paid for the ribbon = Amount paid by Nancy + Amount paid by Nancy's sister

Or, Rs ( x + 2 x ) = 6

Or,  3 x = 6

∴       x = $\dfrac{6}{3}$ = Rs 2

So, Amount paid by Nancy = Rs x = Rs 2

Amount paid by her sister = 2 x = 2 × 2 = Rs 4

For Nancy

Length of ribbon bought by Nancy = 15 meters

Amount paid by Nancy = Rs 2

So, Applying unitary method

∵ Cost of 15 m ribbon = Rs 2

∴ cost of 1 m ribbon = Rs $\dfrac{2}{15}$

                                 = Rs 0.133 per meter

Again

For Nancy's sister

Length of ribbon bought by Nancy's sister = 9 meters

Amount paid by Nancy's sister = Rs 4

So, Applying unitary method

∵ Cost of 9 m ribbon = Rs 4

∴ cost of 1 m ribbon = Rs $\dfrac{4}{9}$

                                 = Rs 0.44 per meter

Hence, The price of Nancy's ribbon is Rs 0.133 per meter

And , The price of Nancy's sister's ribbon is Rs 0.44 per meter . Answer