Last Friday, Sean withdrew an equal number of $50-notes and $10-notes from the bank. After spending 68 pieces of $50-notes and 22 pieces of $10-notes, the ratio of the remaining $50-notes to $10-notes became 3 : 5.
- How many $50-notes had he left?
- What was the total value of the notes which Sean withdrew from the bank?
| |
$50-notes |
$10-notes |
| Before |
3 u + 68 |
5 u + 22 |
| Change |
- 68 |
- 22 |
| After |
3 u |
5 u |
(a)
Sean withdrew an equal number of $50-notes and $10-notes from the bank. So, the number of notes of each type is the same.
5 u + 22 = 3 u + 68
5 u - 3 u = 68 - 22
2 u = 46
1 u = 46 ÷ 2 = 23
Number of $50 notes that Sean had left
= 3 u
= 3 x 23
= 69
(b)
Number of each type of notes that Sean withdrew
= 69 + 68
= 137
Value of one set of $50-note and 10-note
= 50 + 10
= $60
Total value of the notes that Sean withdrew
= 60 x 137
= $8220
Answer(s): (a) 69; (b) $8220
