Last Saturday, Charlie withdrew an equal number of $100-notes and $50-notes from the bank. After spending 34 pieces of $100-notes and 20 pieces of $50-notes, the ratio of the remaining $100-notes to $50-notes became 3 : 5.
- How many $100-notes had he left?
- What was the total value of the notes which Charlie withdrew from the bank?
| |
$100-notes |
$50-notes |
| Before |
3 u + 34 |
5 u + 20 |
| Change |
- 34 |
- 20 |
| After |
3 u |
5 u |
(a)
Charlie withdrew an equal number of $100-notes and $50-notes from the bank. So, the number of notes of each type is the same.
5 u + 20 = 3 u + 34
5 u - 3 u = 34 - 20
2 u = 14
1 u = 14 ÷ 2 = 7
Number of $100 notes that Charlie had left
= 3 u
= 3 x 7
= 21
(b)
Number of each type of notes that Charlie withdrew
= 21 + 34
= 55
Value of one set of $100-note and 50-note
= 100 + 50
= $150
Total value of the notes that Charlie withdrew
= 150 x 55
= $8250
Answer(s): (a) 21; (b) $8250
