Hazel had an equal number of $1 and $5 notes. After spending 32 pieces of $5 and 27 pieces of $1 notes, the ratio of the $1 notes to $5 notes left was 7 : 2. Find the value of the notes left.
| |
$1 |
$5 |
| Before |
7 u + 27 |
2 u + 32 |
| Change |
- 27 |
- 32 |
| After |
7 u |
2 u |
Number of $1 notes at first = 7 u + 27
Number of $5 notes at first = 2 u + 32
The number of $1 and $5 notes at first is the same.
7 u + 27 = 2 u + 32
7 u - 2 u = 32 - 27
5 u = 5
1 u = 5 ÷ 5 = 1
Value of $1-notes left
= 7 u x 1
= 7 x 1 x 1
= $7
Value of $5-notes left
= 2 u x 5
= 2 x 1 x 5
= $10
Value of notes left
= 7 + 10
= $17
Answer(s): $17
