Kathy had an equal number of $2 and $20 notes. After spending 36 pieces of $20 and 27 pieces of $2 notes, the ratio of the $2 notes to $20 notes left was 7 : 4. Find the value of the notes left.
| |
$2 |
$20 |
| Before |
7 u + 27 |
4 u + 36 |
| Change |
- 27 |
- 36 |
| After |
7 u |
4 u |
Number of $2 notes at first = 7 u + 27
Number of $20 notes at first = 4 u + 36
The number of $2 and $20 notes at first is the same.
7 u + 27 = 4 u + 36
7 u - 4 u = 36 - 27
3 u = 9
1 u = 9 ÷ 3 = 3
Value of $2-notes left
= 7 u x 2
= 7 x 3 x 2
= $42
Value of $20-notes left
= 4 u x 20
= 4 x 3 x 20
= $240
Value of notes left
= 42 + 240
= $282
Answer(s): $282
