The ratio of the number of $2-notes to $50-notes in Shiyun's bag was 1 : 5. Shiyun exchanged 6 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 Shiyun's bag at first?
|
$2-notes |
$50-notes |
Before |
1 u |
5 u |
Change |
+ 150 |
- 6 |
After |
1 u + 150 |
5 u - 6 |
Value of 6 pieces of $50-notes
= 6 x 50
= $300
Number of $2-notes that Shiyun exchanged for
= 300 ÷ 2
= 150
After the exchange, Shiyun had an equal number of $2-notes and $50-notes.
5 u - 6 = 1 u + 150
5 u - 1 u = 150 + 6
4 u = 156
1 u = 156 ÷ 4 = 39
Number of $2-notes at first
= 1 u
= 39
Value of $2-notes at first
= 39 x 2
= $78
Number of $50-notes at first
= 5 u
= 5 x 39
= 195
Value of $50-notes at first
= 195 x 50
= $9750
Total value of $2-notes and $50-notes at first
= 78 + 9750
= $9828
Answer(s): $9828