Wendy had an equal number of $50 and $1 notes. After spending 28 pieces of $1 and 13 pieces of $50 notes, the ratio of the $50 notes to $1 notes left was 6 : 1. Find the value of the notes left.
| |
$50 |
$1 |
| Before |
6 u + 13 |
1 u + 28 |
| Change |
- 13 |
- 28 |
| After |
6 u |
1 u |
Number of $50 notes at first = 6 u + 13
Number of $1 notes at first = 1 u + 28
The number of $50 and $1 notes at first is the same.
6 u + 13 = 1 u + 28
6 u - 1 u = 28 - 13
5 u = 15
1 u = 15 ÷ 5 = 3
Value of $50-notes left
= 6 u x 50
= 6 x 3 x 50
= $900
Value of $1-notes left
= 1 u x 1
= 1 x 3 x 1
= $3
Value of notes left
= 900 + 3
= $903
Answer(s): $903
