Last Friday, Simon withdrew an equal number of $100-notes and $5-notes from the bank. After spending 52 pieces of $100-notes and 16 pieces of $5-notes, the ratio of the remaining $100-notes to $5-notes became 2 : 5.
- How many $100-notes had he left?
- What was the total value of the notes which Simon withdrew from the bank?
| |
$100-notes |
$5-notes |
| Before |
2 u + 52 |
5 u + 16 |
| Change |
- 52 |
- 16 |
| After |
2 u |
5 u |
(a)
Simon withdrew an equal number of $100-notes and $5-notes from the bank. So, the number of notes of each type is the same.
5 u + 16 = 2 u + 52
5 u - 2 u = 52 - 16
3 u = 36
1 u = 36 ÷ 3 = 12
Number of $100 notes that Simon had left
= 2 u
= 2 x 12
= 24
(b)
Number of each type of notes that Simon withdrew
= 24 + 52
= 76
Value of one set of $100-note and 5-note
= 100 + 5
= $105
Total value of the notes that Simon withdrew
= 105 x 76
= $7980
Answer(s): (a) 24; (b) $7980
