Last Saturday, Ben withdrew an equal number of $2-notes and $50-notes from the bank. After spending 98 pieces of $2-notes and 23 pieces of $50-notes, the ratio of the remaining $2-notes to $50-notes became 4 : 7.
- How many $2-notes had he left?
- What was the total value of the notes which Ben withdrew from the bank?
| |
$2-notes |
$50-notes |
| Before |
4 u + 98 |
7 u + 23 |
| Change |
- 98 |
- 23 |
| After |
4 u |
7 u |
(a)
Ben withdrew an equal number of $2-notes and $50-notes from the bank. So, the number of notes of each type is the same.
7 u + 23 = 4 u + 98
7 u - 4 u = 98 - 23
3 u = 75
1 u = 75 ÷ 3 = 25
Number of $2 notes that Ben had left
= 4 u
= 4 x 25
= 100
(b)
Number of each type of notes that Ben withdrew
= 100 + 98
= 198
Value of one set of $2-note and 50-note
= 2 + 50
= $52
Total value of the notes that Ben withdrew
= 52 x 198
= $10296
Answer(s): (a) 100; (b) $10296
