Last Thursday, Tommy withdrew an equal number of $20-notes and $100-notes from the bank. After spending 85 pieces of $20-notes and 25 pieces of $100-notes, the ratio of the remaining $20-notes to $100-notes became 2 : 5.
- How many $20-notes had he left?
- What was the total value of the notes which Tommy withdrew from the bank?
| |
$20-notes |
$100-notes |
| Before |
2 u + 85 |
5 u + 25 |
| Change |
- 85 |
- 25 |
| After |
2 u |
5 u |
(a)
Tommy withdrew an equal number of $20-notes and $100-notes from the bank. So, the number of notes of each type is the same.
5 u + 25 = 2 u + 85
5 u - 2 u = 85 - 25
3 u = 60
1 u = 60 ÷ 3 = 20
Number of $20 notes that Tommy had left
= 2 u
= 2 x 20
= 40
(b)
Number of each type of notes that Tommy withdrew
= 40 + 85
= 125
Value of one set of $20-note and 100-note
= 20 + 100
= $120
Total value of the notes that Tommy withdrew
= 120 x 125
= $15000
Answer(s): (a) 40; (b) $15000
