The ratio of the number of $5-notes to $50-notes in Sarah's jar was 1 : 3. Sarah exchanged 6 pieces of $50-notes for $5-notes. She then had an equal number of $5-notes and $50-notes. What was the total value of $5-notes and $50-notes in Sarah's jar at first?
|
$5-notes |
$50-notes |
Before |
1 u |
3 u |
Change |
+ 60 |
- 6 |
After |
1 u + 60 |
3 u - 6 |
Value of 6 pieces of $50-notes
= 6 x 50
= $300
Number of $5-notes that Sarah exchanged for
= 300 ÷ 5
= 60
After the exchange, Sarah had an equal number of $5-notes and $50-notes.
3 u - 6 = 1 u + 60
3 u - 1 u = 60 + 6
2 u = 66
1 u = 66 ÷ 2 = 33
Number of $5-notes at first
= 1 u
= 33
Value of $5-notes at first
= 33 x 5
= $165
Number of $50-notes at first
= 3 u
= 3 x 33
= 99
Value of $50-notes at first
= 99 x 50
= $4950
Total value of $5-notes and $50-notes at first
= 165 + 4950
= $5115
Answer(s): $5115