Zoe had an equal number of $5 and $2 notes. After spending 39 pieces of $2 and 24 pieces of $5 notes, the ratio of the $5 notes to $2 notes left was 5 : 2. Find the value of the notes left.
| |
$5 |
$2 |
| Before |
5 u + 24 |
2 u + 39 |
| Change |
- 24 |
- 39 |
| After |
5 u |
2 u |
Number of $5 notes at first = 5 u + 24
Number of $2 notes at first = 2 u + 39
The number of $5 and $2 notes at first is the same.
5 u + 24 = 2 u + 39
5 u - 2 u = 39 - 24
3 u = 15
1 u = 15 ÷ 3 = 5
Value of $5-notes left
= 5 u x 5
= 5 x 5 x 5
= $125
Value of $2-notes left
= 2 u x 2
= 2 x 5 x 2
= $20
Value of notes left
= 125 + 20
= $145
Answer(s): $145
