Last Wednesday, Fabian withdrew an equal number of $20-notes and $50-notes from the bank. After spending 71 pieces of $20-notes and 15 pieces of $50-notes, the ratio of the remaining $20-notes to $50-notes became 5 : 9.
- How many $20-notes had he left?
- What was the total value of the notes which Fabian withdrew from the bank?
| |
$20-notes |
$50-notes |
| Before |
5 u + 71 |
9 u + 15 |
| Change |
- 71 |
- 15 |
| After |
5 u |
9 u |
(a)
Fabian withdrew an equal number of $20-notes and $50-notes from the bank. So, the number of notes of each type is the same.
9 u + 15 = 5 u + 71
9 u - 5 u = 71 - 15
4 u = 56
1 u = 56 ÷ 4 = 14
Number of $20 notes that Fabian had left
= 5 u
= 5 x 14
= 70
(b)
Number of each type of notes that Fabian withdrew
= 70 + 71
= 141
Value of one set of $20-note and 50-note
= 20 + 50
= $70
Total value of the notes that Fabian withdrew
= 70 x 141
= $9870
Answer(s): (a) 70; (b) $9870
