Hazel had an equal number of $5 and $10 notes. After spending 43 pieces of $10 and 19 pieces of $5 notes, the ratio of the $5 notes to $10 notes left was 7 : 5. Find the value of the notes left.
| |
$5 |
$10 |
| Before |
7 u + 19 |
5 u + 43 |
| Change |
- 19 |
- 43 |
| After |
7 u |
5 u |
Number of $5 notes at first = 7 u + 19
Number of $10 notes at first = 5 u + 43
The number of $5 and $10 notes at first is the same.
7 u + 19 = 5 u + 43
7 u - 5 u = 43 - 19
2 u = 24
1 u = 24 ÷ 2 = 12
Value of $5-notes left
= 7 u x 5
= 7 x 12 x 5
= $420
Value of $10-notes left
= 5 u x 10
= 5 x 12 x 10
= $600
Value of notes left
= 420 + 600
= $1020
Answer(s): $1020
