Yen had an equal number of $2 and $5 notes. After spending 46 pieces of $5 and 16 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 + 16 |
5 u + 46 |
| Change |
- 16 |
- 46 |
| After |
7 u |
5 u |
Number of $2 notes at first = 7 u + 16
Number of $5 notes at first = 5 u + 46
The number of $2 and $5 notes at first is the same.
7 u + 16 = 5 u + 46
7 u - 5 u = 46 - 16
2 u = 30
1 u = 30 ÷ 2 = 15
Value of $2-notes left
= 7 u x 2
= 7 x 15 x 2
= $210
Value of $5-notes left
= 5 u x 5
= 5 x 15 x 5
= $375
Value of notes left
= 210 + 375
= $585
Answer(s): $585
