Last Wednesday, Ken withdrew an equal number of $100-notes and $2-notes from the bank. After spending 46 pieces of $100-notes and 16 pieces of $2-notes, the ratio of the remaining $100-notes to $2-notes became 2 : 5.
- How many $100-notes had he left?
- What was the total value of the notes which Ken withdrew from the bank?
| |
$100-notes |
$2-notes |
| Before |
2 u + 46 |
5 u + 16 |
| Change |
- 46 |
- 16 |
| After |
2 u |
5 u |
(a)
Ken withdrew an equal number of $100-notes and $2-notes from the bank. So, the number of notes of each type is the same.
5 u + 16 = 2 u + 46
5 u - 2 u = 46 - 16
3 u = 30
1 u = 30 ÷ 3 = 10
Number of $100 notes that Ken had left
= 2 u
= 2 x 10
= 20
(b)
Number of each type of notes that Ken withdrew
= 20 + 46
= 66
Value of one set of $100-note and 2-note
= 100 + 2
= $102
Total value of the notes that Ken withdrew
= 102 x 66
= $6732
Answer(s): (a) 20; (b) $6732
