Last Saturday, Albert withdrew an equal number of $100-notes and $50-notes from the bank. After spending 87 pieces of $100-notes and 30 pieces of $50-notes, the ratio of the remaining $100-notes to $50-notes became 2 : 5.
- How many $100-notes had he left?
- What was the total value of the notes which Albert withdrew from the bank?
|
$100-notes |
$50-notes |
Before |
2 u + 87 |
5 u + 30 |
Change |
- 87 |
- 30 |
After |
2 u |
5 u |
(a)
Albert withdrew an equal number of $100-notes and $50-notes from the bank. So, the number of notes of each type is the same.
5 u + 30 = 2 u + 87
5 u - 2 u = 87 - 30
3 u = 57
1 u = 57 ÷ 3 = 19
Number of $100 notes that Albert had left
= 2 u
= 2 x 19
= 38
(b)
Number of each type of notes that Albert withdrew
= 38 + 87
= 125
Value of one set of $100-note and 50-note
= 100 + 50
= $150
Total value of the notes that Albert withdrew
= 150 x 125
= $18750
Answer(s): (a) 38; (b) $18750