Abi had an equal number of $100 and $20 notes. After spending 44 pieces of $20 and 26 pieces of $100 notes, the ratio of the $100 notes to $20 notes left was 8 : 5. Find the value of the notes left.
| |
$100 |
$20 |
| Before |
8 u + 26 |
5 u + 44 |
| Change |
- 26 |
- 44 |
| After |
8 u |
5 u |
Number of $100 notes at first = 8 u + 26
Number of $20 notes at first = 5 u + 44
The number of $100 and $20 notes at first is the same.
8 u + 26 = 5 u + 44
8 u - 5 u = 44 - 26
3 u = 18
1 u = 18 ÷ 3 = 6
Value of $100-notes left
= 8 u x 100
= 8 x 6 x 100
= $4800
Value of $20-notes left
= 5 u x 20
= 5 x 6 x 20
= $600
Value of notes left
= 4800 + 600
= $5400
Answer(s): $5400
