Last Thursday, Valen withdrew an equal number of $20-notes and $10-notes from the bank. After spending 48 pieces of $20-notes and 12 pieces of $10-notes, the ratio of the remaining $20-notes to $10-notes became 3 : 5.
- How many $20-notes had he left?
- What was the total value of the notes which Valen withdrew from the bank?
| |
$20-notes |
$10-notes |
| Before |
3 u + 48 |
5 u + 12 |
| Change |
- 48 |
- 12 |
| After |
3 u |
5 u |
(a)
Valen withdrew an equal number of $20-notes and $10-notes from the bank. So, the number of notes of each type is the same.
5 u + 12 = 3 u + 48
5 u - 3 u = 48 - 12
2 u = 36
1 u = 36 ÷ 2 = 18
Number of $20 notes that Valen had left
= 3 u
= 3 x 18
= 54
(b)
Number of each type of notes that Valen withdrew
= 54 + 48
= 102
Value of one set of $20-note and 10-note
= 20 + 10
= $30
Total value of the notes that Valen withdrew
= 30 x 102
= $3060
Answer(s): (a) 54; (b) $3060
