Emily had an equal number of $100 and $1 notes. After spending 47 pieces of $1 and 26 pieces of $100 notes, the ratio of the $100 notes to $1 notes left was 4 : 1. Find the value of the notes left.
| |
$100 |
$1 |
| Before |
4 u + 26 |
1 u + 47 |
| Change |
- 26 |
- 47 |
| After |
4 u |
1 u |
Number of $100 notes at first = 4 u + 26
Number of $1 notes at first = 1 u + 47
The number of $100 and $1 notes at first is the same.
4 u + 26 = 1 u + 47
4 u - 1 u = 47 - 26
3 u = 21
1 u = 21 ÷ 3 = 7
Value of $100-notes left
= 4 u x 100
= 4 x 7 x 100
= $2800
Value of $1-notes left
= 1 u x 1
= 1 x 7 x 1
= $7
Value of notes left
= 2800 + 7
= $2807
Answer(s): $2807
