Last Thursday, Jenson withdrew an equal number of $100-notes and $10-notes from the bank. After spending 65 pieces of $100-notes and 17 pieces of $10-notes, the ratio of the remaining $100-notes to $10-notes became 3 : 5.
- How many $100-notes had he left?
- What was the total value of the notes which Jenson withdrew from the bank?
| |
$100-notes |
$10-notes |
| Before |
3 u + 65 |
5 u + 17 |
| Change |
- 65 |
- 17 |
| After |
3 u |
5 u |
(a)
Jenson withdrew an equal number of $100-notes and $10-notes from the bank. So, the number of notes of each type is the same.
5 u + 17 = 3 u + 65
5 u - 3 u = 65 - 17
2 u = 48
1 u = 48 ÷ 2 = 24
Number of $100 notes that Jenson had left
= 3 u
= 3 x 24
= 72
(b)
Number of each type of notes that Jenson withdrew
= 72 + 65
= 137
Value of one set of $100-note and 10-note
= 100 + 10
= $110
Total value of the notes that Jenson withdrew
= 110 x 137
= $15070
Answer(s): (a) 72; (b) $15070
