Last Monday, Albert withdrew an equal number of $100-notes and $20-notes from the bank. After spending 39 pieces of $100-notes and 15 pieces of $20-notes, the ratio of the remaining $100-notes to $20-notes became 5 : 9.
- How many $100-notes had he left?
- What was the total value of the notes which Albert withdrew from the bank?
| |
$100-notes |
$20-notes |
| Before |
5 u + 39 |
9 u + 15 |
| Change |
- 39 |
- 15 |
| After |
5 u |
9 u |
(a)
Albert withdrew an equal number of $100-notes and $20-notes from the bank. So, the number of notes of each type is the same.
9 u + 15 = 5 u + 39
9 u - 5 u = 39 - 15
4 u = 24
1 u = 24 ÷ 4 = 6
Number of $100 notes that Albert had left
= 5 u
= 5 x 6
= 30
(b)
Number of each type of notes that Albert withdrew
= 30 + 39
= 69
Value of one set of $100-note and 20-note
= 100 + 20
= $120
Total value of the notes that Albert withdrew
= 120 x 69
= $8280
Answer(s): (a) 30; (b) $8280
