Shannon had an equal number of $5 and $100 notes. After spending 40 pieces of $100 and 14 pieces of $5 notes, the ratio of the $5 notes to $100 notes left was 7 : 5. Find the value of the notes left.
| |
$5 |
$100 |
| Before |
7 u + 14 |
5 u + 40 |
| Change |
- 14 |
- 40 |
| After |
7 u |
5 u |
Number of $5 notes at first = 7 u + 14
Number of $100 notes at first = 5 u + 40
The number of $5 and $100 notes at first is the same.
7 u + 14 = 5 u + 40
7 u - 5 u = 40 - 14
2 u = 26
1 u = 26 ÷ 2 = 13
Value of $5-notes left
= 7 u x 5
= 7 x 13 x 5
= $455
Value of $100-notes left
= 5 u x 100
= 5 x 13 x 100
= $6500
Value of notes left
= 455 + 6500
= $6955
Answer(s): $6955
