Erika had an equal number of $1 and $5 notes. After spending 29 pieces of $5 and 17 pieces of $1 notes, the ratio of the $1 notes to $5 notes left was 7 : 5. Find the value of the notes left.
| |
$1 |
$5 |
| Before |
7 u + 17 |
5 u + 29 |
| Change |
- 17 |
- 29 |
| After |
7 u |
5 u |
Number of $1 notes at first = 7 u + 17
Number of $5 notes at first = 5 u + 29
The number of $1 and $5 notes at first is the same.
7 u + 17 = 5 u + 29
7 u - 5 u = 29 - 17
2 u = 12
1 u = 12 ÷ 2 = 6
Value of $1-notes left
= 7 u x 1
= 7 x 6 x 1
= $42
Value of $5-notes left
= 5 u x 5
= 5 x 6 x 5
= $150
Value of notes left
= 42 + 150
= $192
Answer(s): $192
