Last Sunday, Perry withdrew an equal number of $10-notes and $20-notes from the bank. After spending 34 pieces of $10-notes and 10 pieces of $20-notes, the ratio of the remaining $10-notes to $20-notes became 3 : 5.
- How many $10-notes had he left?
- What was the total value of the notes which Perry withdrew from the bank?
| |
$10-notes |
$20-notes |
| Before |
3 u + 34 |
5 u + 10 |
| Change |
- 34 |
- 10 |
| After |
3 u |
5 u |
(a)
Perry 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 + 10 = 3 u + 34
5 u - 3 u = 34 - 10
2 u = 24
1 u = 24 ÷ 2 = 12
Number of $10 notes that Perry had left
= 3 u
= 3 x 12
= 36
(b)
Number of each type of notes that Perry withdrew
= 36 + 34
= 70
Value of one set of $10-note and 20-note
= 10 + 20
= $30
Total value of the notes that Perry withdrew
= 30 x 70
= $2100
Answer(s): (a) 36; (b) $2100
