Gem had an equal number of $20 and $1 notes. After spending 48 pieces of $1 and 15 pieces of $20 notes, the ratio of the $20 notes to $1 notes left was 8 : 5. Find the value of the notes left.
| |
$20 |
$1 |
| Before |
8 u + 15 |
5 u + 48 |
| Change |
- 15 |
- 48 |
| After |
8 u |
5 u |
Number of $20 notes at first = 8 u + 15
Number of $1 notes at first = 5 u + 48
The number of $20 and $1 notes at first is the same.
8 u + 15 = 5 u + 48
8 u - 5 u = 48 - 15
3 u = 33
1 u = 33 ÷ 3 = 11
Value of $20-notes left
= 8 u x 20
= 8 x 11 x 20
= $1760
Value of $1-notes left
= 5 u x 1
= 5 x 11 x 1
= $55
Value of notes left
= 1760 + 55
= $1815
Answer(s): $1815
