Last Wednesday, Sean withdrew an equal number of $50-notes and $2-notes from the bank. After spending 142 pieces of $50-notes and 22 pieces of $2-notes, the ratio of the remaining $50-notes to $2-notes became 2 : 7.
- How many $50-notes had he left?
- What was the total value of the notes which Sean withdrew from the bank?
| |
$50-notes |
$2-notes |
| Before |
2 u + 142 |
7 u + 22 |
| Change |
- 142 |
- 22 |
| After |
2 u |
7 u |
(a)
Sean withdrew an equal number of $50-notes and $2-notes from the bank. So, the number of notes of each type is the same.
7 u + 22 = 2 u + 142
7 u - 2 u = 142 - 22
5 u = 120
1 u = 120 ÷ 5 = 24
Number of $50 notes that Sean had left
= 2 u
= 2 x 24
= 48
(b)
Number of each type of notes that Sean withdrew
= 48 + 142
= 190
Value of one set of $50-note and 2-note
= 50 + 2
= $52
Total value of the notes that Sean withdrew
= 52 x 190
= $9880
Answer(s): (a) 48; (b) $9880
