The ratio of the number of $2-notes to $5-notes in Kylie's bag was 1 : 4. Kylie exchanged 6 pieces of $5-notes for $2-notes. She then had an equal number of $2-notes and $5-notes. What was the total value of $2-notes and $5-notes in Kylie's bag at first?
|
$2-notes |
$5-notes |
Before |
1 u |
4 u |
Change |
+ 15 |
- 6 |
After |
1 u + 15 |
4 u - 6 |
Value of 6 pieces of $5-notes
= 6 x 5
= $30
Number of $2-notes that Kylie exchanged for
= 30 ÷ 2
= 15
After the exchange, Kylie had an equal number of $2-notes and $5-notes.
4 u - 6 = 1 u + 15
4 u - 1 u = 15 + 6
3 u = 21
1 u = 21 ÷ 3 = 7
Number of $2-notes at first
= 1 u
= 7
Value of $2-notes at first
= 7 x 2
= $14
Number of $5-notes at first
= 4 u
= 4 x 7
= 28
Value of $5-notes at first
= 28 x 5
= $140
Total value of $2-notes and $5-notes at first
= 14 + 140
= $154
Answer(s): $154