Emily had an equal number of $1 and $10 notes. After spending 29 pieces of $10 and 24 pieces of $1 notes, the ratio of the $1 notes to $10 notes left was 8 : 3. Find the value of the notes left.
| |
$1 |
$10 |
| Before |
8 u + 24 |
3 u + 29 |
| Change |
- 24 |
- 29 |
| After |
8 u |
3 u |
Number of $1 notes at first = 8 u + 24
Number of $10 notes at first = 3 u + 29
The number of $1 and $10 notes at first is the same.
8 u + 24 = 3 u + 29
8 u - 3 u = 29 - 24
5 u = 5
1 u = 5 ÷ 5 = 1
Value of $1-notes left
= 8 u x 1
= 8 x 1 x 1
= $8
Value of $10-notes left
= 3 u x 10
= 3 x 1 x 10
= $30
Value of notes left
= 8 + 30
= $38
Answer(s): $38
