Emily had an equal number of $5 and $2 notes. After spending 17 pieces of $2 and 14 pieces of $5 notes, the ratio of the $5 notes to $2 notes left was 8 : 5. Find the value of the notes left.
| |
$5 |
$2 |
| Before |
8 u + 14 |
5 u + 17 |
| Change |
- 14 |
- 17 |
| After |
8 u |
5 u |
Number of $5 notes at first = 8 u + 14
Number of $2 notes at first = 5 u + 17
The number of $5 and $2 notes at first is the same.
8 u + 14 = 5 u + 17
8 u - 5 u = 17 - 14
3 u = 3
1 u = 3 ÷ 3 = 1
Value of $5-notes left
= 8 u x 5
= 8 x 1 x 5
= $40
Value of $2-notes left
= 5 u x 2
= 5 x 1 x 2
= $10
Value of notes left
= 40 + 10
= $50
Answer(s): $50
