Last Wednesday, Fabian withdrew an equal number of $50-notes and $100-notes from the bank. After spending 72 pieces of $50-notes and 26 pieces of $100-notes, the ratio of the remaining $50-notes to $100-notes became 7 : 9.
- How many $50-notes had he left?
- What was the total value of the notes which Fabian withdrew from the bank?
| |
$50-notes |
$100-notes |
| Before |
7 u + 72 |
9 u + 26 |
| Change |
- 72 |
- 26 |
| After |
7 u |
9 u |
(a)
Fabian withdrew an equal number of $50-notes and $100-notes from the bank. So, the number of notes of each type is the same.
9 u + 26 = 7 u + 72
9 u - 7 u = 72 - 26
2 u = 46
1 u = 46 ÷ 2 = 23
Number of $50 notes that Fabian had left
= 7 u
= 7 x 23
= 161
(b)
Number of each type of notes that Fabian withdrew
= 161 + 72
= 233
Value of one set of $50-note and 100-note
= 50 + 100
= $150
Total value of the notes that Fabian withdrew
= 150 x 233
= $34950
Answer(s): (a) 161; (b) $34950
