Last Sunday, Vaidev withdrew an equal number of $10-notes and $100-notes from the bank. After spending 45 pieces of $10-notes and 29 pieces of $100-notes, the ratio of the remaining $10-notes to $100-notes became 5 : 7.
- How many $10-notes had he left?
- What was the total value of the notes which Vaidev withdrew from the bank?
| |
$10-notes |
$100-notes |
| Before |
5 u + 45 |
7 u + 29 |
| Change |
- 45 |
- 29 |
| After |
5 u |
7 u |
(a)
Vaidev withdrew an equal number of $10-notes and $100-notes from the bank. So, the number of notes of each type is the same.
7 u + 29 = 5 u + 45
7 u - 5 u = 45 - 29
2 u = 16
1 u = 16 ÷ 2 = 8
Number of $10 notes that Vaidev had left
= 5 u
= 5 x 8
= 40
(b)
Number of each type of notes that Vaidev withdrew
= 40 + 45
= 85
Value of one set of $10-note and 100-note
= 10 + 100
= $110
Total value of the notes that Vaidev withdrew
= 110 x 85
= $9350
Answer(s): (a) 40; (b) $9350
