Last Wednesday, Will withdrew an equal number of $20-notes and $50-notes from the bank. After spending 64 pieces of $20-notes and 16 pieces of $50-notes, the ratio of the remaining $20-notes to $50-notes became 2 : 5.
- How many $20-notes had he left?
- What was the total value of the notes which Will withdrew from the bank?
|
$20-notes |
$50-notes |
Before |
2 u + 64 |
5 u + 16 |
Change |
- 64 |
- 16 |
After |
2 u |
5 u |
(a)
Will withdrew an equal number of $20-notes and $50-notes from the bank. So, the number of notes of each type is the same.
5 u + 16 = 2 u + 64
5 u - 2 u = 64 - 16
3 u = 48
1 u = 48 ÷ 3 = 16
Number of $20 notes that Will had left
= 2 u
= 2 x 16
= 32
(b)
Number of each type of notes that Will withdrew
= 32 + 64
= 96
Value of one set of $20-note and 50-note
= 20 + 50
= $70
Total value of the notes that Will withdrew
= 70 x 96
= $6720
Answer(s): (a) 32; (b) $6720