Last Sunday, Wesley withdrew an equal number of $20-notes and $100-notes from the bank. After spending 40 pieces of $20-notes and 16 pieces of $100-notes, the ratio of the remaining $20-notes to $100-notes became 5 : 8.
- How many $20-notes had he left?
- What was the total value of the notes which Wesley withdrew from the bank?
|
$20-notes |
$100-notes |
Before |
5 u + 40 |
8 u + 16 |
Change |
- 40 |
- 16 |
After |
5 u |
8 u |
(a)
Wesley withdrew an equal number of $20-notes and $100-notes from the bank. So, the number of notes of each type is the same.
8 u + 16 = 5 u + 40
8 u - 5 u = 40 - 16
3 u = 24
1 u = 24 ÷ 3 = 8
Number of $20 notes that Wesley had left
= 5 u
= 5 x 8
= 40
(b)
Number of each type of notes that Wesley withdrew
= 40 + 40
= 80
Value of one set of $20-note and 100-note
= 20 + 100
= $120
Total value of the notes that Wesley withdrew
= 120 x 80
= $9600
Answer(s): (a) 40; (b) $9600