Mary had an equal number of $1 and $50 notes. After spending 46 pieces of $50 and 22 pieces of $1 notes, the ratio of the $1 notes to $50 notes left was 8 : 5. Find the value of the notes left.
|
$1 |
$50 |
Before |
8 u + 22 |
5 u + 46 |
Change |
- 22 |
- 46 |
After |
8 u |
5 u |
Number of $1 notes at first = 8 u + 22
Number of $50 notes at first = 5 u + 46
The number of $1 and $50 notes at first is the same.
8 u + 22 = 5 u + 46
8 u - 5 u = 46 - 22
3 u = 24
1 u = 24 ÷ 3 = 8
Value of $1-notes left
= 8 u x 1
= 8 x 8 x 1
= $64
Value of $50-notes left
= 5 u x 50
= 5 x 8 x 50
= $2000
Value of notes left
= 64 + 2000
= $2064
Answer(s): $2064