Tiffany had an equal number of $20 and $100 notes. After spending 34 pieces of $100 and 13 pieces of $20 notes, the ratio of the $20 notes to $100 notes left was 4 : 1. Find the value of the notes left.
| |
$20 |
$100 |
| Before |
4 u + 13 |
1 u + 34 |
| Change |
- 13 |
- 34 |
| After |
4 u |
1 u |
Number of $20 notes at first = 4 u + 13
Number of $100 notes at first = 1 u + 34
The number of $20 and $100 notes at first is the same.
4 u + 13 = 1 u + 34
4 u - 1 u = 34 - 13
3 u = 21
1 u = 21 ÷ 3 = 7
Value of $20-notes left
= 4 u x 20
= 4 x 7 x 20
= $560
Value of $100-notes left
= 1 u x 100
= 1 x 7 x 100
= $700
Value of notes left
= 560 + 700
= $1260
Answer(s): $1260
