Xylia had an equal number of $50 and $2 notes. After spending 41 pieces of $2 and 16 pieces of $50 notes, the ratio of the $50 notes to $2 notes left was 7 : 2. Find the value of the notes left.
| |
$50 |
$2 |
| Before |
7 u + 16 |
2 u + 41 |
| Change |
- 16 |
- 41 |
| After |
7 u |
2 u |
Number of $50 notes at first = 7 u + 16
Number of $2 notes at first = 2 u + 41
The number of $50 and $2 notes at first is the same.
7 u + 16 = 2 u + 41
7 u - 2 u = 41 - 16
5 u = 25
1 u = 25 ÷ 5 = 5
Value of $50-notes left
= 7 u x 50
= 7 x 5 x 50
= $1750
Value of $2-notes left
= 2 u x 2
= 2 x 5 x 2
= $20
Value of notes left
= 1750 + 20
= $1770
Answer(s): $1770
