Zoe had an equal number of $2 and $1 notes. After spending 41 pieces of $1 and 27 pieces of $2 notes, the ratio of the $2 notes to $1 notes left was 7 : 5. Find the value of the notes left.
| |
$2 |
$1 |
| Before |
7 u + 27 |
5 u + 41 |
| Change |
- 27 |
- 41 |
| After |
7 u |
5 u |
Number of $2 notes at first = 7 u + 27
Number of $1 notes at first = 5 u + 41
The number of $2 and $1 notes at first is the same.
7 u + 27 = 5 u + 41
7 u - 5 u = 41 - 27
2 u = 14
1 u = 14 ÷ 2 = 7
Value of $2-notes left
= 7 u x 2
= 7 x 7 x 2
= $98
Value of $1-notes left
= 5 u x 1
= 5 x 7 x 1
= $35
Value of notes left
= 98 + 35
= $133
Answer(s): $133
