Kylie had an equal number of $50 and $1 notes. After spending 45 pieces of $1 and 18 pieces of $50 notes, the ratio of the $50 notes to $1 notes left was 7 : 4. Find the value of the notes left.
| |
$50 |
$1 |
| Before |
7 u + 18 |
4 u + 45 |
| Change |
- 18 |
- 45 |
| After |
7 u |
4 u |
Number of $50 notes at first = 7 u + 18
Number of $1 notes at first = 4 u + 45
The number of $50 and $1 notes at first is the same.
7 u + 18 = 4 u + 45
7 u - 4 u = 45 - 18
3 u = 27
1 u = 27 ÷ 3 = 9
Value of $50-notes left
= 7 u x 50
= 7 x 9 x 50
= $3150
Value of $1-notes left
= 4 u x 1
= 4 x 9 x 1
= $36
Value of notes left
= 3150 + 36
= $3186
Answer(s): $3186
