Jade had an equal number of $10 and $1 notes. After spending 33 pieces of $1 and 19 pieces of $10 notes, the ratio of the $10 notes to $1 notes left was 5 : 3. Find the value of the notes left.
|
$10 |
$1 |
Before |
5 u + 19 |
3 u + 33 |
Change |
- 19 |
- 33 |
After |
5 u |
3 u |
Number of $10 notes at first = 5 u + 19
Number of $1 notes at first = 3 u + 33
The number of $10 and $1 notes at first is the same.
5 u + 19 = 3 u + 33
5 u - 3 u = 33 - 19
2 u = 14
1 u = 14 ÷ 2 = 7
Value of $10-notes left
= 5 u x 10
= 5 x 7 x 10
= $350
Value of $1-notes left
= 3 u x 1
= 3 x 7 x 1
= $21
Value of notes left
= 350 + 21
= $371
Answer(s): $371