Last Monday, Bryan withdrew an equal number of $100-notes and $50-notes from the bank. After spending 41 pieces of $100-notes and 29 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 Bryan withdrew from the bank?
| |
$100-notes |
$50-notes |
| Before |
3 u + 41 |
5 u + 29 |
| Change |
- 41 |
- 29 |
| After |
3 u |
5 u |
(a)
Bryan 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 + 29 = 3 u + 41
5 u - 3 u = 41 - 29
2 u = 12
1 u = 12 ÷ 2 = 6
Number of $100 notes that Bryan had left
= 3 u
= 3 x 6
= 18
(b)
Number of each type of notes that Bryan withdrew
= 18 + 41
= 59
Value of one set of $100-note and 50-note
= 100 + 50
= $150
Total value of the notes that Bryan withdrew
= 150 x 59
= $8850
Answer(s): (a) 18; (b) $8850
