Gabby had an equal number of $1 and $2 notes. After spending 44 pieces of $2 and 14 pieces of $1 notes, the ratio of the $1 notes to $2 notes left was 8 : 3. Find the value of the notes left.
| |
$1 |
$2 |
| Before |
8 u + 14 |
3 u + 44 |
| Change |
- 14 |
- 44 |
| After |
8 u |
3 u |
Number of $1 notes at first = 8 u + 14
Number of $2 notes at first = 3 u + 44
The number of $1 and $2 notes at first is the same.
8 u + 14 = 3 u + 44
8 u - 3 u = 44 - 14
5 u = 30
1 u = 30 ÷ 5 = 6
Value of $1-notes left
= 8 u x 1
= 8 x 6 x 1
= $48
Value of $2-notes left
= 3 u x 2
= 3 x 6 x 2
= $36
Value of notes left
= 48 + 36
= $84
Answer(s): $84
