Sarah had an equal number of $10 and $2 notes. After spending 41 pieces of $2 and 23 pieces of $10 notes, the ratio of the $10 notes to $2 notes left was 5 : 2. Find the value of the notes left.
| |
$10 |
$2 |
| Before |
5 u + 23 |
2 u + 41 |
| Change |
- 23 |
- 41 |
| After |
5 u |
2 u |
Number of $10 notes at first = 5 u + 23
Number of $2 notes at first = 2 u + 41
The number of $10 and $2 notes at first is the same.
5 u + 23 = 2 u + 41
5 u - 2 u = 41 - 23
3 u = 18
1 u = 18 ÷ 3 = 6
Value of $10-notes left
= 5 u x 10
= 5 x 6 x 10
= $300
Value of $2-notes left
= 2 u x 2
= 2 x 6 x 2
= $24
Value of notes left
= 300 + 24
= $324
Answer(s): $324
