Nora had an equal number of $5 and $10 notes. After spending 34 pieces of $10 and 29 pieces of $5 notes, the ratio of the $5 notes to $10 notes left was 8 : 3. Find the value of the notes left.
| |
$5 |
$10 |
| Before |
8 u + 29 |
3 u + 34 |
| Change |
- 29 |
- 34 |
| After |
8 u |
3 u |
Number of $5 notes at first = 8 u + 29
Number of $10 notes at first = 3 u + 34
The number of $5 and $10 notes at first is the same.
8 u + 29 = 3 u + 34
8 u - 3 u = 34 - 29
5 u = 5
1 u = 5 ÷ 5 = 1
Value of $5-notes left
= 8 u x 5
= 8 x 1 x 5
= $40
Value of $10-notes left
= 3 u x 10
= 3 x 1 x 10
= $30
Value of notes left
= 40 + 30
= $70
Answer(s): $70
