Gwen had an equal number of $50 and $10 notes. After spending 38 pieces of $10 and 17 pieces of $50 notes, the ratio of the $50 notes to $10 notes left was 8 : 5. Find the value of the notes left.
| |
$50 |
$10 |
| Before |
8 u + 17 |
5 u + 38 |
| Change |
- 17 |
- 38 |
| After |
8 u |
5 u |
Number of $50 notes at first = 8 u + 17
Number of $10 notes at first = 5 u + 38
The number of $50 and $10 notes at first is the same.
8 u + 17 = 5 u + 38
8 u - 5 u = 38 - 17
3 u = 21
1 u = 21 ÷ 3 = 7
Value of $50-notes left
= 8 u x 50
= 8 x 7 x 50
= $2800
Value of $10-notes left
= 5 u x 10
= 5 x 7 x 10
= $350
Value of notes left
= 2800 + 350
= $3150
Answer(s): $3150
