Last Monday, Owen withdrew an equal number of $50-notes and $100-notes from the bank. After spending 79 pieces of $50-notes and 19 pieces of $100-notes, the ratio of the remaining $50-notes to $100-notes became 7 : 10.
- How many $50-notes had he left?
- What was the total value of the notes which Owen withdrew from the bank?
| |
$50-notes |
$100-notes |
| Before |
7 u + 79 |
10 u + 19 |
| Change |
- 79 |
- 19 |
| After |
7 u |
10 u |
(a)
Owen withdrew an equal number of $50-notes and $100-notes from the bank. So, the number of notes of each type is the same.
10 u + 19 = 7 u + 79
10 u - 7 u = 79 - 19
3 u = 60
1 u = 60 ÷ 3 = 20
Number of $50 notes that Owen had left
= 7 u
= 7 x 20
= 140
(b)
Number of each type of notes that Owen withdrew
= 140 + 79
= 219
Value of one set of $50-note and 100-note
= 50 + 100
= $150
Total value of the notes that Owen withdrew
= 150 x 219
= $32850
Answer(s): (a) 140; (b) $32850
