The ratio of the number of $2-notes to $10-notes in Nicole's jar was 1 : 3. Nicole exchanged 11 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 Nicole's jar at first?
|
$2-notes |
$10-notes |
Before |
1 u |
3 u |
Change |
+ 55 |
- 11 |
After |
1 u + 55 |
3 u - 11 |
Value of 11 pieces of $10-notes
= 11 x 10
= $110
Number of $2-notes that Nicole exchanged for
= 110 ÷ 2
= 55
After the exchange, Nicole had an equal number of $2-notes and $10-notes.
3 u - 11 = 1 u + 55
3 u - 1 u = 55 + 11
2 u = 66
1 u = 66 ÷ 2 = 33
Number of $2-notes at first
= 1 u
= 33
Value of $2-notes at first
= 33 x 2
= $66
Number of $10-notes at first
= 3 u
= 3 x 33
= 99
Value of $10-notes at first
= 99 x 10
= $990
Total value of $2-notes and $10-notes at first
= 66 + 990
= $1056
Answer(s): $1056