Question

if the cost of a notebook is Rs 8 3/4 how many notebooks can be purchased for Rs 131 1/4

Answer 1

Given that,
Cost of one notebook=35/4
Number of book in 525/4

then,
@/q

525/4÷35/4
525/4*4/35
525/35
15


Now,
Number of Notebooks=15



that's all

Answer 2

15 notebooks can be purchased in $131 \frac{1}{4}$ @ $8 \frac{3}{4}$per notebook.

Given:

• Cost of a notebook is Rs $8 \frac{3}{4}$.

To find:

• How many notebooks can be purchased for Rs $131 \frac{1}{4}$.

Solution:

Concept to be used:

1. Convert mixed fraction into improper fraction:Conversion can be done as shown $\bf a \frac{b}{c} = \frac{ac + b}{c}$
2. Division of two rational numbers:$\bf \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}$

Step 1:

Convert given amount into improper fraction.

$131 \frac{1}{4} = \frac{(131 \times 4 )+ 1 }{4}$

or

$131 \frac{1}{4} = \frac{525}{4}$

and by the same way

$8 \frac{3}{4} = \frac{(8 \times 4) + 3}{4}$

or

$8 \frac{3}{4} = \frac{35}{4}$

Step 2:

Divide the amount by cost of one notebook.

$\frac{525}{4} \div \frac{35}{4} = \frac{525}{4} \times \frac{4}{35}$

cancel the common factors of numerators and denominators.

$\frac{15 \: \cancel{525}}{ \cancel4} \times \frac{\cancel4 }{ \cancel{35}} = \: 15 \times 1$

or

$\bf \frac{525}{4} \div \frac{35}{4} =15$

Thus,

15 notebooks can be purchased in Rs. 131 1/4 at a cost Rs 8 3/4 per notebook .

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