Last Sunday, Rael withdrew an equal number of $100-notes and $2-notes from the bank. After spending 82 pieces of $100-notes and 22 pieces of $2-notes, the ratio of the remaining $100-notes to $2-notes became 3 : 8.
- How many $100-notes had he left?
- What was the total value of the notes which Rael withdrew from the bank?
| |
$100-notes |
$2-notes |
| Before |
3 u + 82 |
8 u + 22 |
| Change |
- 82 |
- 22 |
| After |
3 u |
8 u |
(a)
Rael withdrew an equal number of $100-notes and $2-notes from the bank. So, the number of notes of each type is the same.
8 u + 22 = 3 u + 82
8 u - 3 u = 82 - 22
5 u = 60
1 u = 60 ÷ 5 = 12
Number of $100 notes that Rael had left
= 3 u
= 3 x 12
= 36
(b)
Number of each type of notes that Rael withdrew
= 36 + 82
= 118
Value of one set of $100-note and 2-note
= 100 + 2
= $102
Total value of the notes that Rael withdrew
= 102 x 118
= $12036
Answer(s): (a) 36; (b) $12036
