A sum of ₹ 500 is in the form of denominations of ₹ 5 and ₹ 10. If the total number of notes is 90, find the number of notes of each type.
Linear Eqns One Variable
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Question

A sum of ₹ 500 is in the form of denominations of ₹ 5 and ₹ 10. If the total number of notes is 90, find the number of notes of each type.

KnowledgeBoat · Accepted Answer

Let the number of ₹ 5 notes be x. Then, the number of ₹ 10 notes = (90 - x). Total value of ₹ 5 notes = 5x Total value of ₹ 10 notes = 10 × (90 - x) = 900 - 10x According to the question, the total sum is ₹ 500: 5x + (900 - 10x) = 500 ⇒ 5x + 900 - 10x = 500 [Removing brackets] ⇒ 5x - 10x = 500 - 900 [Transposing +900 to RHS] ⇒ -5x = -400 ⇒ x = ⇒ x = 80 Number of ₹ 5 notes = x = 80. Number of ₹ 10 notes = (90 - x) = (90 - 80) = 10. Hence, number of ₹ 5 notes = 80 and number of ₹ 10 notes = 10.

Mathematics

A sum of ₹ 500 is in the form of denominations of ₹ 5 and ₹ 10. If the total number of notes is 90, find the number of notes of each type.

Linear Eqns One Variable

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