Emily had an equal number of $50 and $1 notes. After spending 34 pieces of $1 and 19 pieces of $50 notes, the ratio of the $50 notes to $1 notes left was 7 : 4. Find the value of the notes left.
| |
$50 |
$1 |
| Before |
7 u + 19 |
4 u + 34 |
| Change |
- 19 |
- 34 |
| After |
7 u |
4 u |
Number of $50 notes at first = 7 u + 19
Number of $1 notes at first = 4 u + 34
The number of $50 and $1 notes at first is the same.
7 u + 19 = 4 u + 34
7 u - 4 u = 34 - 19
3 u = 15
1 u = 15 ÷ 3 = 5
Value of $50-notes left
= 7 u x 50
= 7 x 5 x 50
= $1750
Value of $1-notes left
= 4 u x 1
= 4 x 5 x 1
= $20
Value of notes left
= 1750 + 20
= $1770
Answer(s): $1770
