Example 11: Deveshi has a total of 590 as currency notes in the denomi

1.	Example 11: Deveshi has a total of 590 as currency notes in the denominations ofă50 20 andäš10. The ratio of the number of750 notes and 20 notes is 3:5. If she hasa total of 25 notes, how many notes of each denomination she has?
Answer» LetNo. of currency notes of Rs 50 = 3xNo. of currency notes of Rs 20 = 5xNo. of currency notes of Rs 10 = 25 - (3x+5x) = 25 - 8x Amount made by Rs 50 notes = 50 × 3x = 150xAmount made by Rs 20 notes = 20 × 5x = 100xAmount made by Rs 10 notes = 10 × (25-8x) = 250 - 80x Total money = 590 ⇒ 150x + 100x + 250 - 80x = 590 ⇒ 170x = 340 ⇒ x = 2 Denominations:Rs 50 = 3 × 2 = 6Rs 20 = 5 × 2 = 10Rs 10 = (25 - 8× 2) = 9

Example 11: Deveshi has a total of 590 as currency notes in the denominations ofă50 20 andäš10. The ratio of the number of750 notes and 20 notes is 3:5. If she hasa total of 25 notes, how many notes of each denomination she has?

Answer»

LetNo. of currency notes of Rs 50 = 3xNo. of currency notes of Rs 20 = 5xNo. of currency notes of Rs 10 = 25 - (3x+5x) = 25 - 8x

Amount made by Rs 50 notes = 50 × 3x = 150xAmount made by Rs 20 notes = 20 × 5x = 100xAmount made by Rs 10 notes = 10 × (25-8x) = 250 - 80x

Total money = 590

⇒ 150x + 100x + 250 - 80x = 590

⇒ 170x = 340

⇒ x = 2

Denominations:Rs 50 = 3 × 2 = 6Rs 20 = 5 × 2 = 10Rs 10 = (25 - 8× 2) = 9