Question

23. Mahesh purchased three calculators and
four pen stands for Rs 2140. He then
purchased an additional calculator and five
pen stands for Rs 1355. How much did he
spend on purchasing only the calculators?​

Answer 1

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Answer 2

Mahesh spend Rs 1920 on purchasing only the calculators

Solution:

Let "x" be the price of each calculator

Let "y" be the price of each pen stand

Mahesh purchased three calculators and  four pen stands for Rs 2140

3x + 4y = 2140 -------- eqn 1

He then  purchased an additional calculator and five  pen stands for Rs 1355

x + 5y = 1355 -------- eqn 2

Multiply eqn 2 by -3

-3x - 15y = -4065 ------ eqn 3

Add eqn 1 and eqn 3

3x + 4y = 2140

-3x - 15y = -4065

( + ) ---------------------

-11y = -1925

y = 175

Substitute y = 175 in eqn 2

x + 5(175) = 1355

x = 1355 - 875

x = 480

Thus price of each calculator is Rs 480

He has bought totally 4 calculators

4 calculators = 4 x 480 = Rs 1920

Thus, Mahesh spend Rs 1920 on purchasing only the calculators

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