The ratio of the number of $5-notes to $50-notes in Nicole's purse was 1 : 6. Nicole exchanged 10 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 Nicole's purse at first?
|
$5-notes |
$50-notes |
Before |
1 u |
6 u |
Change |
+ 100 |
- 10 |
After |
1 u + 100 |
6 u - 10 |
Value of 10 pieces of $50-notes
= 10 x 50
= $500
Number of $5-notes that Nicole exchanged for
= 500 ÷ 5
= 100
After the exchange, Nicole had an equal number of $5-notes and $50-notes.
6 u - 10 = 1 u + 100
6 u - 1 u = 100 + 10
5 u = 110
1 u = 110 ÷ 5 = 22
Number of $5-notes at first
= 1 u
= 22
Value of $5-notes at first
= 22 x 5
= $110
Number of $50-notes at first
= 6 u
= 6 x 22
= 132
Value of $50-notes at first
= 132 x 50
= $6600
Total value of $5-notes and $50-notes at first
= 110 + 6600
= $6710
Answer(s): $6710