Emily had an equal number of $2 and $100 notes. After spending 39 pieces of $100 and 18 pieces of $2 notes, the ratio of the $2 notes to $100 notes left was 7 : 4. Find the value of the notes left.
| |
$2 |
$100 |
| Before |
7 u + 18 |
4 u + 39 |
| Change |
- 18 |
- 39 |
| After |
7 u |
4 u |
Number of $2 notes at first = 7 u + 18
Number of $100 notes at first = 4 u + 39
The number of $2 and $100 notes at first is the same.
7 u + 18 = 4 u + 39
7 u - 4 u = 39 - 18
3 u = 21
1 u = 21 ÷ 3 = 7
Value of $2-notes left
= 7 u x 2
= 7 x 7 x 2
= $98
Value of $100-notes left
= 4 u x 100
= 4 x 7 x 100
= $2800
Value of notes left
= 98 + 2800
= $2898
Answer(s): $2898
