Last Friday, Simon withdrew an equal number of $2-notes and $5-notes from the bank. After spending 48 pieces of $2-notes and 30 pieces of $5-notes, the ratio of the remaining $2-notes to $5-notes became 3 : 5.
- How many $2-notes had he left?
- What was the total value of the notes which Simon withdrew from the bank?
| |
$2-notes |
$5-notes |
| Before |
3 u + 48 |
5 u + 30 |
| Change |
- 48 |
- 30 |
| After |
3 u |
5 u |
(a)
Simon withdrew an equal number of $2-notes and $5-notes from the bank. So, the number of notes of each type is the same.
5 u + 30 = 3 u + 48
5 u - 3 u = 48 - 30
2 u = 18
1 u = 18 ÷ 2 = 9
Number of $2 notes that Simon had left
= 3 u
= 3 x 9
= 27
(b)
Number of each type of notes that Simon withdrew
= 27 + 48
= 75
Value of one set of $2-note and 5-note
= 2 + 5
= $7
Total value of the notes that Simon withdrew
= 7 x 75
= $525
Answer(s): (a) 27; (b) $525
