Yen had an equal number of $10 and $50 notes. After spending 47 pieces of $50 and 35 pieces of $10 notes, the ratio of the $10 notes to $50 notes left was 7 : 3. Find the value of the notes left.
|
$10 |
$50 |
Before |
7 u + 35 |
3 u + 47 |
Change |
- 35 |
- 47 |
After |
7 u |
3 u |
Number of $10 notes at first = 7 u + 35
Number of $50 notes at first = 3 u + 47
The number of $10 and $50 notes at first is the same.
7 u + 35 = 3 u + 47
7 u - 3 u = 47 - 35
4 u = 12
1 u = 12 ÷ 4 = 3
Value of $10-notes left
= 7 u x 10
= 7 x 3 x 10
= $210
Value of $50-notes left
= 3 u x 50
= 3 x 3 x 50
= $450
Value of notes left
= 210 + 450
= $660
Answer(s): $660