Zara had an equal number of $100 and $10 notes. After spending 48 pieces of $10 and 33 pieces of $100 notes, the ratio of the $100 notes to $10 notes left was 7 : 2. Find the value of the notes left.
|
$100 |
$10 |
Before |
7 u + 33 |
2 u + 48 |
Change |
- 33 |
- 48 |
After |
7 u |
2 u |
Number of $100 notes at first = 7 u + 33
Number of $10 notes at first = 2 u + 48
The number of $100 and $10 notes at first is the same.
7 u + 33 = 2 u + 48
7 u - 2 u = 48 - 33
5 u = 15
1 u = 15 ÷ 5 = 3
Value of $100-notes left
= 7 u x 100
= 7 x 3 x 100
= $2100
Value of $10-notes left
= 2 u x 10
= 2 x 3 x 10
= $60
Value of notes left
= 2100 + 60
= $2160
Answer(s): $2160