Last Saturday, Asher withdrew an equal number of $5-notes and $50-notes from the bank. After spending 59 pieces of $5-notes and 17 pieces of $50-notes, the ratio of the remaining $5-notes to $50-notes became 5 : 7.
- How many $5-notes had he left?
- What was the total value of the notes which Asher withdrew from the bank?
| |
$5-notes |
$50-notes |
| Before |
5 u + 59 |
7 u + 17 |
| Change |
- 59 |
- 17 |
| After |
5 u |
7 u |
(a)
Asher withdrew an equal number of $5-notes and $50-notes from the bank. So, the number of notes of each type is the same.
7 u + 17 = 5 u + 59
7 u - 5 u = 59 - 17
2 u = 42
1 u = 42 ÷ 2 = 21
Number of $5 notes that Asher had left
= 5 u
= 5 x 21
= 105
(b)
Number of each type of notes that Asher withdrew
= 105 + 59
= 164
Value of one set of $5-note and 50-note
= 5 + 50
= $55
Total value of the notes that Asher withdrew
= 55 x 164
= $9020
Answer(s): (a) 105; (b) $9020
