Jane had an equal number of $10 and $5 notes. After spending 29 pieces of $5 and 11 pieces of $10 notes, the ratio of the $10 notes to $5 notes left was 5 : 2. Find the value of the notes left.
| |
$10 |
$5 |
| Before |
5 u + 11 |
2 u + 29 |
| Change |
- 11 |
- 29 |
| After |
5 u |
2 u |
Number of $10 notes at first = 5 u + 11
Number of $5 notes at first = 2 u + 29
The number of $10 and $5 notes at first is the same.
5 u + 11 = 2 u + 29
5 u - 2 u = 29 - 11
3 u = 18
1 u = 18 ÷ 3 = 6
Value of $10-notes left
= 5 u x 10
= 5 x 6 x 10
= $300
Value of $5-notes left
= 2 u x 5
= 2 x 6 x 5
= $60
Value of notes left
= 300 + 60
= $360
Answer(s): $360
