Last Monday, Ahmad withdrew an equal number of $2-notes and $20-notes from the bank. After spending 56 pieces of $2-notes and 23 pieces of $20-notes, the ratio of the remaining $2-notes to $20-notes became 2 : 5.
- How many $2-notes had he left?
- What was the total value of the notes which Ahmad withdrew from the bank?
| |
$2-notes |
$20-notes |
| Before |
2 u + 56 |
5 u + 23 |
| Change |
- 56 |
- 23 |
| After |
2 u |
5 u |
(a)
Ahmad withdrew an equal number of $2-notes and $20-notes from the bank. So, the number of notes of each type is the same.
5 u + 23 = 2 u + 56
5 u - 2 u = 56 - 23
3 u = 33
1 u = 33 ÷ 3 = 11
Number of $2 notes that Ahmad had left
= 2 u
= 2 x 11
= 22
(b)
Number of each type of notes that Ahmad withdrew
= 22 + 56
= 78
Value of one set of $2-note and 20-note
= 2 + 20
= $22
Total value of the notes that Ahmad withdrew
= 22 x 78
= $1716
Answer(s): (a) 22; (b) $1716
