A lady has only Rs 1 and Rs 2 coins in her purse. If in all she has 50 coins totaling Rs 70. Find the number of coins of each typeSelect an answerA40, 10B30, 20C60, 20D50, 30
Question
A lady has only Rs 1 and Rs 2 coins in her purse. If in all she has 50 coins totaling Rs 70. Find the number of coins of each typeSelect an answerA40, 10B30, 20C60, 20D50, 30
Solution
Let's denote the number of Rs 1 coins as x and the number of Rs 2 coins as y.
From the problem, we have two equations:
- x + y = 50 (since the total number of coins is 50)
- 1x + 2y = 70 (since the total value of the coins is Rs 70)
We can solve these equations step by step:
Step 1: From equation 1, we can express y in terms of x: y = 50 - x
Step 2: Substitute y in equation 2: 1x + 2(50 - x) = 70
Step 3: Simplify the equation: x + 100 - 2x = 70
Step 4: Rearrange the equation: x = 30
Step 5: Substitute x = 30 in equation 1: 30 + y = 50, which gives y = 20
So, the lady has 30 Rs 1 coins and 20 Rs 2 coins. Therefore, the answer is B30, 20.
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