The ratio of the number of $2-notes to $50-notes in Fanny's wallet was 1 : 5. Fanny exchanged 4 pieces of $50-notes for $2-notes. She then had an equal number of $2-notes and $50-notes. What was the total value of $2-notes and $50-notes in Fanny's wallet at first?
|
$2-notes |
$50-notes |
Before |
1 u |
5 u |
Change |
+ 100 |
- 4 |
After |
1 u + 100 |
5 u - 4 |
Value of 4 pieces of $50-notes
= 4 x 50
= $200
Number of $2-notes that Fanny exchanged for
= 200 ÷ 2
= 100
After the exchange, Fanny had an equal number of $2-notes and $50-notes.
5 u - 4 = 1 u + 100
5 u - 1 u = 100 + 4
4 u = 104
1 u = 104 ÷ 4 = 26
Number of $2-notes at first
= 1 u
= 26
Value of $2-notes at first
= 26 x 2
= $52
Number of $50-notes at first
= 5 u
= 5 x 26
= 130
Value of $50-notes at first
= 130 x 50
= $6500
Total value of $2-notes and $50-notes at first
= 52 + 6500
= $6552
Answer(s): $6552