Last Monday, Nick withdrew an equal number of $10-notes and $100-notes from the bank. After spending 48 pieces of $10-notes and 24 pieces of $100-notes, the ratio of the remaining $10-notes to $100-notes became 3 : 7.
- How many $10-notes had he left?
- What was the total value of the notes which Nick withdrew from the bank?
| |
$10-notes |
$100-notes |
| Before |
3 u + 48 |
7 u + 24 |
| Change |
- 48 |
- 24 |
| After |
3 u |
7 u |
(a)
Nick withdrew an equal number of $10-notes and $100-notes from the bank. So, the number of notes of each type is the same.
7 u + 24 = 3 u + 48
7 u - 3 u = 48 - 24
4 u = 24
1 u = 24 ÷ 4 = 6
Number of $10 notes that Nick had left
= 3 u
= 3 x 6
= 18
(b)
Number of each type of notes that Nick withdrew
= 18 + 48
= 66
Value of one set of $10-note and 100-note
= 10 + 100
= $110
Total value of the notes that Nick withdrew
= 110 x 66
= $7260
Answer(s): (a) 18; (b) $7260
