Nicole had an equal number of $2 and $100 notes. After spending 46 pieces of $100 and 10 pieces of $2 notes, the ratio of the $2 notes to $100 notes left was 3 : 1. Find the value of the notes left.
| |
$2 |
$100 |
| Before |
3 u + 10 |
1 u + 46 |
| Change |
- 10 |
- 46 |
| After |
3 u |
1 u |
Number of $2 notes at first = 3 u + 10
Number of $100 notes at first = 1 u + 46
The number of $2 and $100 notes at first is the same.
3 u + 10 = 1 u + 46
3 u - 1 u = 46 - 10
2 u = 36
1 u = 36 ÷ 2 = 18
Value of $2-notes left
= 3 u x 2
= 3 x 18 x 2
= $108
Value of $100-notes left
= 1 u x 100
= 1 x 18 x 100
= $1800
Value of notes left
= 108 + 1800
= $1908
Answer(s): $1908
