Last Saturday, Julian withdrew an equal number of $10-notes and $20-notes from the bank. After spending 38 pieces of $10-notes and 14 pieces of $20-notes, the ratio of the remaining $10-notes to $20-notes became 2 : 5.
- How many $10-notes had he left?
- What was the total value of the notes which Julian withdrew from the bank?
| |
$10-notes |
$20-notes |
| Before |
2 u + 38 |
5 u + 14 |
| Change |
- 38 |
- 14 |
| After |
2 u |
5 u |
(a)
Julian withdrew an equal number of $10-notes and $20-notes from the bank. So, the number of notes of each type is the same.
5 u + 14 = 2 u + 38
5 u - 2 u = 38 - 14
3 u = 24
1 u = 24 ÷ 3 = 8
Number of $10 notes that Julian had left
= 2 u
= 2 x 8
= 16
(b)
Number of each type of notes that Julian withdrew
= 16 + 38
= 54
Value of one set of $10-note and 20-note
= 10 + 20
= $30
Total value of the notes that Julian withdrew
= 30 x 54
= $1620
Answer(s): (a) 16; (b) $1620
