Last Monday, Rael withdrew an equal number of $20-notes and $10-notes from the bank. After spending 165 pieces of $20-notes and 18 pieces of $10-notes, the ratio of the remaining $20-notes to $10-notes became 2 : 9.
- How many $20-notes had he left?
- What was the total value of the notes which Rael withdrew from the bank?
| |
$20-notes |
$10-notes |
| Before |
2 u + 165 |
9 u + 18 |
| Change |
- 165 |
- 18 |
| After |
2 u |
9 u |
(a)
Rael withdrew an equal number of $20-notes and $10-notes from the bank. So, the number of notes of each type is the same.
9 u + 18 = 2 u + 165
9 u - 2 u = 165 - 18
7 u = 147
1 u = 147 ÷ 7 = 21
Number of $20 notes that Rael had left
= 2 u
= 2 x 21
= 42
(b)
Number of each type of notes that Rael withdrew
= 42 + 165
= 207
Value of one set of $20-note and 10-note
= 20 + 10
= $30
Total value of the notes that Rael withdrew
= 30 x 207
= $6210
Answer(s): (a) 42; (b) $6210
