Last Saturday, Warren withdrew an equal number of $100-notes and $20-notes from the bank. After spending 39 pieces of $100-notes and 14 pieces of $20-notes, the ratio of the remaining $100-notes to $20-notes became 2 : 7.
- How many $100-notes had he left?
- What was the total value of the notes which Warren withdrew from the bank?
| |
$100-notes |
$20-notes |
| Before |
2 u + 39 |
7 u + 14 |
| Change |
- 39 |
- 14 |
| After |
2 u |
7 u |
(a)
Warren withdrew an equal number of $100-notes and $20-notes from the bank. So, the number of notes of each type is the same.
7 u + 14 = 2 u + 39
7 u - 2 u = 39 - 14
5 u = 25
1 u = 25 ÷ 5 = 5
Number of $100 notes that Warren had left
= 2 u
= 2 x 5
= 10
(b)
Number of each type of notes that Warren withdrew
= 10 + 39
= 49
Value of one set of $100-note and 20-note
= 100 + 20
= $120
Total value of the notes that Warren withdrew
= 120 x 49
= $5880
Answer(s): (a) 10; (b) $5880
