Last Monday, Owen withdrew an equal number of $2-notes and $50-notes from the bank. After spending 161 pieces of $2-notes and 21 pieces of $50-notes, the ratio of the remaining $2-notes to $50-notes became 3 : 10.
- How many $2-notes had he left?
- What was the total value of the notes which Owen withdrew from the bank?
| |
$2-notes |
$50-notes |
| Before |
3 u + 161 |
10 u + 21 |
| Change |
- 161 |
- 21 |
| After |
3 u |
10 u |
(a)
Owen withdrew an equal number of $2-notes and $50-notes from the bank. So, the number of notes of each type is the same.
10 u + 21 = 3 u + 161
10 u - 3 u = 161 - 21
7 u = 140
1 u = 140 ÷ 7 = 20
Number of $2 notes that Owen had left
= 3 u
= 3 x 20
= 60
(b)
Number of each type of notes that Owen withdrew
= 60 + 161
= 221
Value of one set of $2-note and 50-note
= 2 + 50
= $52
Total value of the notes that Owen withdrew
= 52 x 221
= $11492
Answer(s): (a) 60; (b) $11492
