Kathy had an equal number of $5 and $100 notes. After spending 45 pieces of $100 and 27 pieces of $5 notes, the ratio of the $5 notes to $100 notes left was 7 : 4. Find the value of the notes left.
| |
$5 |
$100 |
| Before |
7 u + 27 |
4 u + 45 |
| Change |
- 27 |
- 45 |
| After |
7 u |
4 u |
Number of $5 notes at first = 7 u + 27
Number of $100 notes at first = 4 u + 45
The number of $5 and $100 notes at first is the same.
7 u + 27 = 4 u + 45
7 u - 4 u = 45 - 27
3 u = 18
1 u = 18 ÷ 3 = 6
Value of $5-notes left
= 7 u x 5
= 7 x 6 x 5
= $210
Value of $100-notes left
= 4 u x 100
= 4 x 6 x 100
= $2400
Value of notes left
= 210 + 2400
= $2610
Answer(s): $2610
