The ratio of the number of $2-notes to $10-notes in Jen's wallet was 1 : 8. Jen exchanged 14 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 Jen's wallet at first?
|
$2-notes |
$10-notes |
Before |
1 u |
8 u |
Change |
+ 70 |
- 14 |
After |
1 u + 70 |
8 u - 14 |
Value of 14 pieces of $10-notes
= 14 x 10
= $140
Number of $2-notes that Jen exchanged for
= 140 ÷ 2
= 70
After the exchange, Jen had an equal number of $2-notes and $10-notes.
8 u - 14 = 1 u + 70
8 u - 1 u = 70 + 14
7 u = 84
1 u = 84 ÷ 7 = 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
= 8 u
= 8 x 12
= 96
Value of $10-notes at first
= 96 x 10
= $960
Total value of $2-notes and $10-notes at first
= 24 + 960
= $984
Answer(s): $984