Tammy had an equal number of $50 and $2 notes. After spending 45 pieces of $2 and 17 pieces of $50 notes, the ratio of the $50 notes to $2 notes left was 5 : 1. Find the value of the notes left.
|
$50 |
$2 |
Before |
5 u + 17 |
1 u + 45 |
Change |
- 17 |
- 45 |
After |
5 u |
1 u |
Number of $50 notes at first = 5 u + 17
Number of $2 notes at first = 1 u + 45
The number of $50 and $2 notes at first is the same.
5 u + 17 = 1 u + 45
5 u - 1 u = 45 - 17
4 u = 28
1 u = 28 ÷ 4 = 7
Value of $50-notes left
= 5 u x 50
= 5 x 7 x 50
= $1750
Value of $2-notes left
= 1 u x 2
= 1 x 7 x 2
= $14
Value of notes left
= 1750 + 14
= $1764
Answer(s): $1764