Saira went to the stationery shop to buy some pens and pencils. She bought 2 times as many pens as pencils. She spent Rs 52 in all.
If a pen costs Rs 12 and a pencil, Rs 2, how many PENS did Saira buy?
Answers
Given:
Saira went to the stationery shop to buy some pens and pencils. She bought 2 times as many pens as pencils. She has spent a total of Rs 52. A single pen costs Rs 12 and a single pencil costs Rs 2.
To Find:
The total number of pens bought by Saria is?
Solution:
1. Assume the number of pens and pencils as x and y respectively.
2. As Saira bought 2 times as many pens as pencils, the relation between x and y can be written as,
=> x = 2y ( Consider as equation 1 ),
3. The sum of all the stationery purchased by Saini is Rs 52, Equationally it can be represented as,
=> 12x + 2y = 52, ( Consider as equation 2 ).
4. Solve equations 1 and 2 for the values of x and y,
=> Add equations 1 and 2,
=> x - 2y + 12x - 2y = 52,
=> 13x = 52,
=> x = 4.
5. Substitute the value of x in equation 1,
=> 4 = 2y,
=> y = 2.
6. The total number of pens purchased by Saira is 4.
Therefore, Saira has purchased a total of 4 pens.