Last Monday, Flynn withdrew an equal number of $2-notes and $100-notes from the bank. After spending 58 pieces of $2-notes and 12 pieces of $100-notes, the ratio of the remaining $2-notes to $100-notes became 7 : 9.
- How many $2-notes had he left?
- What was the total value of the notes which Flynn withdrew from the bank?
|
$2-notes |
$100-notes |
Before |
7 u + 58 |
9 u + 12 |
Change |
- 58 |
- 12 |
After |
7 u |
9 u |
(a)
Flynn withdrew an equal number of $2-notes and $100-notes from the bank. So, the number of notes of each type is the same.
9 u + 12 = 7 u + 58
9 u - 7 u = 58 - 12
2 u = 46
1 u = 46 ÷ 2 = 23
Number of $2 notes that Flynn had left
= 7 u
= 7 x 23
= 161
(b)
Number of each type of notes that Flynn withdrew
= 161 + 58
= 219
Value of one set of $2-note and 100-note
= 2 + 100
= $102
Total value of the notes that Flynn withdrew
= 102 x 219
= $22338
Answer(s): (a) 161; (b) $22338