The ratio of the number of $2-notes to $50-notes in Kylie's handbag was 1 : 3. Kylie exchanged 5 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 Kylie's handbag at first?
|
$2-notes |
$50-notes |
Before |
1 u |
3 u |
Change |
+ 125 |
- 5 |
After |
1 u + 125 |
3 u - 5 |
Value of 5 pieces of $50-notes
= 5 x 50
= $250
Number of $2-notes that Kylie exchanged for
= 250 ÷ 2
= 125
After the exchange, Kylie had an equal number of $2-notes and $50-notes.
3 u - 5 = 1 u + 125
3 u - 1 u = 125 + 5
2 u = 130
1 u = 130 ÷ 2 = 65
Number of $2-notes at first
= 1 u
= 65
Value of $2-notes at first
= 65 x 2
= $130
Number of $50-notes at first
= 3 u
= 3 x 65
= 195
Value of $50-notes at first
= 195 x 50
= $9750
Total value of $2-notes and $50-notes at first
= 130 + 9750
= $9880
Answer(s): $9880