Last Saturday, Ryan withdrew an equal number of $50-notes and $2-notes from the bank. After spending 49 pieces of $50-notes and 13 pieces of $2-notes, the ratio of the remaining $50-notes to $2-notes became 3 : 5.
- How many $50-notes had he left?
- What was the total value of the notes which Ryan withdrew from the bank?
| |
$50-notes |
$2-notes |
| Before |
3 u + 49 |
5 u + 13 |
| Change |
- 49 |
- 13 |
| After |
3 u |
5 u |
(a)
Ryan withdrew an equal number of $50-notes and $2-notes from the bank. So, the number of notes of each type is the same.
5 u + 13 = 3 u + 49
5 u - 3 u = 49 - 13
2 u = 36
1 u = 36 ÷ 2 = 18
Number of $50 notes that Ryan had left
= 3 u
= 3 x 18
= 54
(b)
Number of each type of notes that Ryan withdrew
= 54 + 49
= 103
Value of one set of $50-note and 2-note
= 50 + 2
= $52
Total value of the notes that Ryan withdrew
= 52 x 103
= $5356
Answer(s): (a) 54; (b) $5356
