Pamela had an equal number of $1 and $5 notes. After spending 48 pieces of $5 and 21 pieces of $1 notes, the ratio of the $1 notes to $5 notes left was 8 : 5. Find the value of the notes left.
| |
$1 |
$5 |
| Before |
8 u + 21 |
5 u + 48 |
| Change |
- 21 |
- 48 |
| After |
8 u |
5 u |
Number of $1 notes at first = 8 u + 21
Number of $5 notes at first = 5 u + 48
The number of $1 and $5 notes at first is the same.
8 u + 21 = 5 u + 48
8 u - 5 u = 48 - 21
3 u = 27
1 u = 27 ÷ 3 = 9
Value of $1-notes left
= 8 u x 1
= 8 x 9 x 1
= $72
Value of $5-notes left
= 5 u x 5
= 5 x 9 x 5
= $225
Value of notes left
= 72 + 225
= $297
Answer(s): $297
