Last Tuesday, Zeph withdrew an equal number of $5-notes and $50-notes from the bank. After spending 56 pieces of $5-notes and 23 pieces of $50-notes, the ratio of the remaining $5-notes to $50-notes became 5 : 8.
- How many $5-notes had he left?
- What was the total value of the notes which Zeph withdrew from the bank?
| |
$5-notes |
$50-notes |
| Before |
5 u + 56 |
8 u + 23 |
| Change |
- 56 |
- 23 |
| After |
5 u |
8 u |
(a)
Zeph withdrew an equal number of $5-notes and $50-notes from the bank. So, the number of notes of each type is the same.
8 u + 23 = 5 u + 56
8 u - 5 u = 56 - 23
3 u = 33
1 u = 33 ÷ 3 = 11
Number of $5 notes that Zeph had left
= 5 u
= 5 x 11
= 55
(b)
Number of each type of notes that Zeph withdrew
= 55 + 56
= 111
Value of one set of $5-note and 50-note
= 5 + 50
= $55
Total value of the notes that Zeph withdrew
= 55 x 111
= $6105
Answer(s): (a) 55; (b) $6105
