Xuan had an equal number of $100 and $5 notes. After spending 26 pieces of $5 and 16 pieces of $100 notes, the ratio of the $100 notes to $5 notes left was 7 : 5. Find the value of the notes left.
|
$100 |
$5 |
Before |
7 u + 16 |
5 u + 26 |
Change |
- 16 |
- 26 |
After |
7 u |
5 u |
Number of $100 notes at first = 7 u + 16
Number of $5 notes at first = 5 u + 26
The number of $100 and $5 notes at first is the same.
7 u + 16 = 5 u + 26
7 u - 5 u = 26 - 16
2 u = 10
1 u = 10 ÷ 2 = 5
Value of $100-notes left
= 7 u x 100
= 7 x 5 x 100
= $3500
Value of $5-notes left
= 5 u x 5
= 5 x 5 x 5
= $125
Value of notes left
= 3500 + 125
= $3625
Answer(s): $3625