Last Friday, Luke withdrew an equal number of $2-notes and $100-notes from the bank. After spending 23 pieces of $2-notes and 11 pieces of $100-notes, the ratio of the remaining $2-notes to $100-notes became 3 : 5.
- How many $2-notes had he left?
- What was the total value of the notes which Luke withdrew from the bank?
|
$2-notes |
$100-notes |
Before |
3 u + 23 |
5 u + 11 |
Change |
- 23 |
- 11 |
After |
3 u |
5 u |
(a)
Luke withdrew an equal number of $2-notes and $100-notes from the bank. So, the number of notes of each type is the same.
5 u + 11 = 3 u + 23
5 u - 3 u = 23 - 11
2 u = 12
1 u = 12 ÷ 2 = 6
Number of $2 notes that Luke had left
= 3 u
= 3 x 6
= 18
(b)
Number of each type of notes that Luke withdrew
= 18 + 23
= 41
Value of one set of $2-note and 100-note
= 2 + 100
= $102
Total value of the notes that Luke withdrew
= 102 x 41
= $4182
Answer(s): (a) 18; (b) $4182