Last Monday, Vaidev withdrew an equal number of $5-notes and $20-notes from the bank. After spending 40 pieces of $5-notes and 22 pieces of $20-notes, the ratio of the remaining $5-notes to $20-notes became 7 : 10.
- How many $5-notes had he left?
- What was the total value of the notes which Vaidev withdrew from the bank?
| |
$5-notes |
$20-notes |
| Before |
7 u + 40 |
10 u + 22 |
| Change |
- 40 |
- 22 |
| After |
7 u |
10 u |
(a)
Vaidev withdrew an equal number of $5-notes and $20-notes from the bank. So, the number of notes of each type is the same.
10 u + 22 = 7 u + 40
10 u - 7 u = 40 - 22
3 u = 18
1 u = 18 ÷ 3 = 6
Number of $5 notes that Vaidev had left
= 7 u
= 7 x 6
= 42
(b)
Number of each type of notes that Vaidev withdrew
= 42 + 40
= 82
Value of one set of $5-note and 20-note
= 5 + 20
= $25
Total value of the notes that Vaidev withdrew
= 25 x 82
= $2050
Answer(s): (a) 42; (b) $2050
