Last Sunday, Carl withdrew an equal number of $100-notes and $2-notes from the bank. After spending 69 pieces of $100-notes and 25 pieces of $2-notes, the ratio of the remaining $100-notes to $2-notes became 5 : 7.
- How many $100-notes had he left?
- What was the total value of the notes which Carl withdrew from the bank?
| |
$100-notes |
$2-notes |
| Before |
5 u + 69 |
7 u + 25 |
| Change |
- 69 |
- 25 |
| After |
5 u |
7 u |
(a)
Carl withdrew an equal number of $100-notes and $2-notes from the bank. So, the number of notes of each type is the same.
7 u + 25 = 5 u + 69
7 u - 5 u = 69 - 25
2 u = 44
1 u = 44 ÷ 2 = 22
Number of $100 notes that Carl had left
= 5 u
= 5 x 22
= 110
(b)
Number of each type of notes that Carl withdrew
= 110 + 69
= 179
Value of one set of $100-note and 2-note
= 100 + 2
= $102
Total value of the notes that Carl withdrew
= 102 x 179
= $18258
Answer(s): (a) 110; (b) $18258
