Erika had an equal number of $5 and $50 notes. After spending 37 pieces of $50 and 29 pieces of $5 notes, the ratio of the $5 notes to $50 notes left was 7 : 3. Find the value of the notes left.
| |
$5 |
$50 |
| Before |
7 u + 29 |
3 u + 37 |
| Change |
- 29 |
- 37 |
| After |
7 u |
3 u |
Number of $5 notes at first = 7 u + 29
Number of $50 notes at first = 3 u + 37
The number of $5 and $50 notes at first is the same.
7 u + 29 = 3 u + 37
7 u - 3 u = 37 - 29
4 u = 8
1 u = 8 ÷ 4 = 2
Value of $5-notes left
= 7 u x 5
= 7 x 2 x 5
= $70
Value of $50-notes left
= 3 u x 50
= 3 x 2 x 50
= $300
Value of notes left
= 70 + 300
= $370
Answer(s): $370
