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Rekha collected some coins of Rs 1 rupees and 5 rupees in her Piggy Bank if we had 320 in total and total numbers of coins where 200 find the number of coins of each denomination |
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Answer» LET's the number of 1 rupee coins be x. And the number of 5 rupee coins be y. And the number of 1 rupee coins and 5 rupee coins combine together to get 200 coins. So, let's write the above SITUATION arithmetically, or put it in an equation; x + y = 200 And let's term the above equation as Equation 1. And we can have one more equation, i.e., x + 5y = 320; **How?? As we know that the total AMOUNT is ₹320, so the number of 1 rupee coins and the number of 5 rupee coins together is ₹320** **Why 5y?? That's because y is just the number of coins, so we have to multiply 5 with it so that it becomes the amount of 5 rupee coins** So, now let's term the above equation as Equation 2. Now let's start solving the question; First let's try to find the value of y using elimination; So, by subtracting Equation 1 from Equation 2, we get; 4y = 120 As we have to isolate y, let's divide the equation by 4; Simplify; y = 30 Now, let's SUBSTITUTE the value of y to equation 1, to find the value of x; x + (30) = 200 Subtract 30 from both the sides; x + 30 - 30 = 200 - 30 Simplify; x = 170 Therefore, there are 170 coins of 1 rupee and 30 coins of 5 rupee. |
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