The ratio of the number of $2-notes to $10-notes in Sabrina's bag was 1 : 5. Sabrina exchanged 8 pieces of $10-notes for $2-notes. She then had an equal number of $2-notes and $10-notes. What was the total value of $2-notes and $10-notes in Sabrina's bag at first?
|
$2-notes |
$10-notes |
Before |
1 u |
5 u |
Change |
+ 40 |
- 8 |
After |
1 u + 40 |
5 u - 8 |
Value of 8 pieces of $10-notes
= 8 x 10
= $80
Number of $2-notes that Sabrina exchanged for
= 80 ÷ 2
= 40
After the exchange, Sabrina had an equal number of $2-notes and $10-notes.
5 u - 8 = 1 u + 40
5 u - 1 u = 40 + 8
4 u = 48
1 u = 48 ÷ 4 = 12
Number of $2-notes at first
= 1 u
= 12
Value of $2-notes at first
= 12 x 2
= $24
Number of $10-notes at first
= 5 u
= 5 x 12
= 60
Value of $10-notes at first
= 60 x 10
= $600
Total value of $2-notes and $10-notes at first
= 24 + 600
= $624
Answer(s): $624