Last Friday, Charlie withdrew an equal number of $20-notes and $50-notes from the bank. After spending 82 pieces of $20-notes and 10 pieces of $50-notes, the ratio of the remaining $20-notes to $50-notes became 2 : 5.
- How many $20-notes had he left?
- What was the total value of the notes which Charlie withdrew from the bank?
|
$20-notes |
$50-notes |
Before |
2 u + 82 |
5 u + 10 |
Change |
- 82 |
- 10 |
After |
2 u |
5 u |
(a)
Charlie withdrew an equal number of $20-notes and $50-notes from the bank. So, the number of notes of each type is the same.
5 u + 10 = 2 u + 82
5 u - 2 u = 82 - 10
3 u = 72
1 u = 72 ÷ 3 = 24
Number of $20 notes that Charlie had left
= 2 u
= 2 x 24
= 48
(b)
Number of each type of notes that Charlie withdrew
= 48 + 82
= 130
Value of one set of $20-note and 50-note
= 20 + 50
= $70
Total value of the notes that Charlie withdrew
= 70 x 130
= $9100
Answer(s): (a) 48; (b) $9100