Last Thursday, Simon withdrew an equal number of $50-notes and $5-notes from the bank. After spending 45 pieces of $50-notes and 17 pieces of $5-notes, the ratio of the remaining $50-notes to $5-notes became 3 : 5.
- How many $50-notes had he left?
- What was the total value of the notes which Simon withdrew from the bank?
| |
$50-notes |
$5-notes |
| Before |
3 u + 45 |
5 u + 17 |
| Change |
- 45 |
- 17 |
| After |
3 u |
5 u |
(a)
Simon withdrew an equal number of $50-notes and $5-notes from the bank. So, the number of notes of each type is the same.
5 u + 17 = 3 u + 45
5 u - 3 u = 45 - 17
2 u = 28
1 u = 28 ÷ 2 = 14
Number of $50 notes that Simon had left
= 3 u
= 3 x 14
= 42
(b)
Number of each type of notes that Simon withdrew
= 42 + 45
= 87
Value of one set of $50-note and 5-note
= 50 + 5
= $55
Total value of the notes that Simon withdrew
= 55 x 87
= $4785
Answer(s): (a) 42; (b) $4785
