Last Wednesday, Sam withdrew an equal number of $50-notes and $100-notes from the bank. After spending 43 pieces of $50-notes and 18 pieces of $100-notes, the ratio of the remaining $50-notes to $100-notes became 3 : 8.
- How many $50-notes had he left?
- What was the total value of the notes which Sam withdrew from the bank?
| |
$50-notes |
$100-notes |
| Before |
3 u + 43 |
8 u + 18 |
| Change |
- 43 |
- 18 |
| After |
3 u |
8 u |
(a)
Sam withdrew an equal number of $50-notes and $100-notes from the bank. So, the number of notes of each type is the same.
8 u + 18 = 3 u + 43
8 u - 3 u = 43 - 18
5 u = 25
1 u = 25 ÷ 5 = 5
Number of $50 notes that Sam had left
= 3 u
= 3 x 5
= 15
(b)
Number of each type of notes that Sam withdrew
= 15 + 43
= 58
Value of one set of $50-note and 100-note
= 50 + 100
= $150
Total value of the notes that Sam withdrew
= 150 x 58
= $8700
Answer(s): (a) 15; (b) $8700
