Shannon had an equal number of $50 and $1 notes. After spending 36 pieces of $1 and 27 pieces of $50 notes, the ratio of the $50 notes to $1 notes left was 4 : 1. Find the value of the notes left.
| |
$50 |
$1 |
| Before |
4 u + 27 |
1 u + 36 |
| Change |
- 27 |
- 36 |
| After |
4 u |
1 u |
Number of $50 notes at first = 4 u + 27
Number of $1 notes at first = 1 u + 36
The number of $50 and $1 notes at first is the same.
4 u + 27 = 1 u + 36
4 u - 1 u = 36 - 27
3 u = 9
1 u = 9 ÷ 3 = 3
Value of $50-notes left
= 4 u x 50
= 4 x 3 x 50
= $600
Value of $1-notes left
= 1 u x 1
= 1 x 3 x 1
= $3
Value of notes left
= 600 + 3
= $603
Answer(s): $603
