Gwen had an equal number of $5 and $50 notes. After spending 32 pieces of $50 and 23 pieces of $5 notes, the ratio of the $5 notes to $50 notes left was 7 : 4. Find the value of the notes left.
| |
$5 |
$50 |
| Before |
7 u + 23 |
4 u + 32 |
| Change |
- 23 |
- 32 |
| After |
7 u |
4 u |
Number of $5 notes at first = 7 u + 23
Number of $50 notes at first = 4 u + 32
The number of $5 and $50 notes at first is the same.
7 u + 23 = 4 u + 32
7 u - 4 u = 32 - 23
3 u = 9
1 u = 9 ÷ 3 = 3
Value of $5-notes left
= 7 u x 5
= 7 x 3 x 5
= $105
Value of $50-notes left
= 4 u x 50
= 4 x 3 x 50
= $600
Value of notes left
= 105 + 600
= $705
Answer(s): $705
