Question

એક બેગમાં એક રૂપિયાના સિક્કાની સંખ્યા બે રૂપિયાના સિક્કાની સંખ્યા કરતાં ત્રણ ગણી છે જો આ બેગમાં કુલ ₹ 150 હોય તો બંને સિક્કાની સંખ્યા કેટલી ?​

Answer 1

Given:

એક બેગમાં એક રૂપિયાના સિક્કાની સંખ્યા બે રૂપિયાના સિક્કાની સંખ્યા કરતાં ત્રણ ગણી છે જો આ બેગમાં કુલ ₹ 150 હોય

The number of one rupee coins in a bag is three times the number of two rupee coins. If the total in this bag is ₹ 150

To find:

તો બંને સિક્કાની સંખ્યા કેટલી ?​

What is the number of both the coins?

Solution:

Let,

"x" → represents the no. of one rupee coins

"y" → represents the no. of two rupee coins

The number of one rupee coins in a bag is three times the number of two rupee coins, so the equation will be:

$x = 3y$ ↔ Equation1

The total no. of coins in this bag is ₹ 150

Therefore, we get the equation as:

$x + 2y = 150$

on substituting from equation1

$\implies 3y + 2y = 150$

$\implies 5y = 150$

$\implies y = \frac{150}{5}$

$\implies \bold{y = 30}$

∴ $\bold{x} = 3y = 3 \times 30 = \bold{90}$

Thus, the number of both the coins in the bag:

$\boxed{\bold{1\:rupee\:coin \rightarrow \underline{90}}}\\\boxed{\bold{2\:rupee\:coin \rightarrow \underline{30}}}$

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