Emma had an equal number of $100 and $1 notes. After spending 43 pieces of $1 and 28 pieces of $100 notes, the ratio of the $100 notes to $1 notes left was 8 : 3. Find the value of the notes left.
| |
$100 |
$1 |
| Before |
8 u + 28 |
3 u + 43 |
| Change |
- 28 |
- 43 |
| After |
8 u |
3 u |
Number of $100 notes at first = 8 u + 28
Number of $1 notes at first = 3 u + 43
The number of $100 and $1 notes at first is the same.
8 u + 28 = 3 u + 43
8 u - 3 u = 43 - 28
5 u = 15
1 u = 15 ÷ 5 = 3
Value of $100-notes left
= 8 u x 100
= 8 x 3 x 100
= $2400
Value of $1-notes left
= 3 u x 1
= 3 x 3 x 1
= $9
Value of notes left
= 2400 + 9
= $2409
Answer(s): $2409
