Last Monday, Warren withdrew an equal number of $50-notes and $2-notes from the bank. After spending 44 pieces of $50-notes and 10 pieces of $2-notes, the ratio of the remaining $50-notes to $2-notes became 7 : 9.
- How many $50-notes had he left?
- What was the total value of the notes which Warren withdrew from the bank?
|
$50-notes |
$2-notes |
Before |
7 u + 44 |
9 u + 10 |
Change |
- 44 |
- 10 |
After |
7 u |
9 u |
(a)
Warren withdrew an equal number of $50-notes and $2-notes from the bank. So, the number of notes of each type is the same.
9 u + 10 = 7 u + 44
9 u - 7 u = 44 - 10
2 u = 34
1 u = 34 ÷ 2 = 17
Number of $50 notes that Warren had left
= 7 u
= 7 x 17
= 119
(b)
Number of each type of notes that Warren withdrew
= 119 + 44
= 163
Value of one set of $50-note and 2-note
= 50 + 2
= $52
Total value of the notes that Warren withdrew
= 52 x 163
= $8476
Answer(s): (a) 119; (b) $8476