There are some 50 paisa and some 25 paisa coins in a bag. If the total number of coins is 30 and their total value is ₹ 11, find the number of coins of each kind.
Linear Eqns One Variable
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Question

There are some 50 paisa and some 25 paisa coins in a bag. If the total number of coins is 30 and their total value is ₹ 11, find the number of coins of each kind.

KnowledgeBoat · Accepted Answer

First, convert the total value to paisa: ₹ 1 = 100 paisa ₹ 11 = (11 × 100) paisa = 1100 paisa. Let the number of 50 paisa coins be x. Then, the number of 25 paisa coins = (30 - x). Value of 50 paisa coins = 50x Value of 25 paisa coins = 25 × (30 - x) = 750 - 25x According to the question, total value is ₹ 11: 50x + (750 - 25x) = 1100 ⇒ 50x + 750 - 25x = 1100 [Removing brackets] ⇒ 25x = 1100 - 750 [Transposing +750 to RHS] ⇒ 25x = 350 ⇒ x = ⇒ x = 14 Number of 50 paisa coins = x = 14. Number of 25 paisa coins = (30 - x) = (30 - 14) = 16. Hence, the number of 50 paisa coins = 14 and the number of 25 paisa coins = 16.

Mathematics

There are some 50 paisa and some 25 paisa coins in a bag. If the total number of coins is 30 and their total value is ₹ 11, find the number of coins of each kind.

Linear Eqns One Variable

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