Dana had an equal number of $1 and $2 notes. After spending 45 pieces of $2 and 33 pieces of $1 notes, the ratio of the $1 notes to $2 notes left was 4 : 1. Find the value of the notes left.
| |
$1 |
$2 |
| Before |
4 u + 33 |
1 u + 45 |
| Change |
- 33 |
- 45 |
| After |
4 u |
1 u |
Number of $1 notes at first = 4 u + 33
Number of $2 notes at first = 1 u + 45
The number of $1 and $2 notes at first is the same.
4 u + 33 = 1 u + 45
4 u - 1 u = 45 - 33
3 u = 12
1 u = 12 ÷ 3 = 4
Value of $1-notes left
= 4 u x 1
= 4 x 4 x 1
= $16
Value of $2-notes left
= 1 u x 2
= 1 x 4 x 2
= $8
Value of notes left
= 16 + 8
= $24
Answer(s): $24
