Last Monday, Zeph withdrew an equal number of $100-notes and $5-notes from the bank. After spending 120 pieces of $100-notes and 25 pieces of $5-notes, the ratio of the remaining $100-notes to $5-notes became 2 : 7.
- How many $100-notes had he left?
- What was the total value of the notes which Zeph withdrew from the bank?
| |
$100-notes |
$5-notes |
| Before |
2 u + 120 |
7 u + 25 |
| Change |
- 120 |
- 25 |
| After |
2 u |
7 u |
(a)
Zeph withdrew an equal number of $100-notes and $5-notes from the bank. So, the number of notes of each type is the same.
7 u + 25 = 2 u + 120
7 u - 2 u = 120 - 25
5 u = 95
1 u = 95 ÷ 5 = 19
Number of $100 notes that Zeph had left
= 2 u
= 2 x 19
= 38
(b)
Number of each type of notes that Zeph withdrew
= 38 + 120
= 158
Value of one set of $100-note and 5-note
= 100 + 5
= $105
Total value of the notes that Zeph withdrew
= 105 x 158
= $16590
Answer(s): (a) 38; (b) $16590
