Last Monday, Justin withdrew an equal number of $20-notes and $5-notes from the bank. After spending 92 pieces of $20-notes and 27 pieces of $5-notes, the ratio of the remaining $20-notes to $5-notes became 3 : 8.
- How many $20-notes had he left?
- What was the total value of the notes which Justin withdrew from the bank?
| |
$20-notes |
$5-notes |
| Before |
3 u + 92 |
8 u + 27 |
| Change |
- 92 |
- 27 |
| After |
3 u |
8 u |
(a)
Justin withdrew an equal number of $20-notes and $5-notes from the bank. So, the number of notes of each type is the same.
8 u + 27 = 3 u + 92
8 u - 3 u = 92 - 27
5 u = 65
1 u = 65 ÷ 5 = 13
Number of $20 notes that Justin had left
= 3 u
= 3 x 13
= 39
(b)
Number of each type of notes that Justin withdrew
= 39 + 92
= 131
Value of one set of $20-note and 5-note
= 20 + 5
= $25
Total value of the notes that Justin withdrew
= 25 x 131
= $3275
Answer(s): (a) 39; (b) $3275
