Eva had an equal number of $2 and $5 notes. After spending 34 pieces of $5 and 14 pieces of $2 notes, the ratio of the $2 notes to $5 notes left was 7 : 5. Find the value of the notes left.
| |
$2 |
$5 |
| Before |
7 u + 14 |
5 u + 34 |
| Change |
- 14 |
- 34 |
| After |
7 u |
5 u |
Number of $2 notes at first = 7 u + 14
Number of $5 notes at first = 5 u + 34
The number of $2 and $5 notes at first is the same.
7 u + 14 = 5 u + 34
7 u - 5 u = 34 - 14
2 u = 20
1 u = 20 ÷ 2 = 10
Value of $2-notes left
= 7 u x 2
= 7 x 10 x 2
= $140
Value of $5-notes left
= 5 u x 5
= 5 x 10 x 5
= $250
Value of notes left
= 140 + 250
= $390
Answer(s): $390
