Last Monday, Seth withdrew an equal number of $2-notes and $50-notes from the bank. After spending 43 pieces of $2-notes and 25 pieces of $50-notes, the ratio of the remaining $2-notes to $50-notes became 7 : 9.
- How many $2-notes had he left?
- What was the total value of the notes which Seth withdrew from the bank?
| |
$2-notes |
$50-notes |
| Before |
7 u + 43 |
9 u + 25 |
| Change |
- 43 |
- 25 |
| After |
7 u |
9 u |
(a)
Seth withdrew an equal number of $2-notes and $50-notes from the bank. So, the number of notes of each type is the same.
9 u + 25 = 7 u + 43
9 u - 7 u = 43 - 25
2 u = 18
1 u = 18 ÷ 2 = 9
Number of $2 notes that Seth had left
= 7 u
= 7 x 9
= 63
(b)
Number of each type of notes that Seth withdrew
= 63 + 43
= 106
Value of one set of $2-note and 50-note
= 2 + 50
= $52
Total value of the notes that Seth withdrew
= 52 x 106
= $5512
Answer(s): (a) 63; (b) $5512
