Last Sunday, Jeremy withdrew an equal number of $50-notes and $100-notes from the bank. After spending 56 pieces of $50-notes and 20 pieces of $100-notes, the ratio of the remaining $50-notes to $100-notes became 3 : 5.
- How many $50-notes had he left?
- What was the total value of the notes which Jeremy withdrew from the bank?
| |
$50-notes |
$100-notes |
| Before |
3 u + 56 |
5 u + 20 |
| Change |
- 56 |
- 20 |
| After |
3 u |
5 u |
(a)
Jeremy withdrew an equal number of $50-notes and $100-notes from the bank. So, the number of notes of each type is the same.
5 u + 20 = 3 u + 56
5 u - 3 u = 56 - 20
2 u = 36
1 u = 36 ÷ 2 = 18
Number of $50 notes that Jeremy had left
= 3 u
= 3 x 18
= 54
(b)
Number of each type of notes that Jeremy withdrew
= 54 + 56
= 110
Value of one set of $50-note and 100-note
= 50 + 100
= $150
Total value of the notes that Jeremy withdrew
= 150 x 110
= $16500
Answer(s): (a) 54; (b) $16500
