Last Friday, Vincent withdrew an equal number of $100-notes and $50-notes from the bank. After spending 73 pieces of $100-notes and 25 pieces of $50-notes, the ratio of the remaining $100-notes to $50-notes became 2 : 5.
- How many $100-notes had he left?
- What was the total value of the notes which Vincent withdrew from the bank?
| |
$100-notes |
$50-notes |
| Before |
2 u + 73 |
5 u + 25 |
| Change |
- 73 |
- 25 |
| After |
2 u |
5 u |
(a)
Vincent 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 + 25 = 2 u + 73
5 u - 2 u = 73 - 25
3 u = 48
1 u = 48 ÷ 3 = 16
Number of $100 notes that Vincent had left
= 2 u
= 2 x 16
= 32
(b)
Number of each type of notes that Vincent withdrew
= 32 + 73
= 105
Value of one set of $100-note and 50-note
= 100 + 50
= $150
Total value of the notes that Vincent withdrew
= 150 x 105
= $15750
Answer(s): (a) 32; (b) $15750
