Ivory had an equal number of $20 and $5 notes. After spending 23 pieces of $5 and 14 pieces of $20 notes, the ratio of the $20 notes to $5 notes left was 4 : 1. Find the value of the notes left.
| |
$20 |
$5 |
| Before |
4 u + 14 |
1 u + 23 |
| Change |
- 14 |
- 23 |
| After |
4 u |
1 u |
Number of $20 notes at first = 4 u + 14
Number of $5 notes at first = 1 u + 23
The number of $20 and $5 notes at first is the same.
4 u + 14 = 1 u + 23
4 u - 1 u = 23 - 14
3 u = 9
1 u = 9 ÷ 3 = 3
Value of $20-notes left
= 4 u x 20
= 4 x 3 x 20
= $240
Value of $5-notes left
= 1 u x 5
= 1 x 3 x 5
= $15
Value of notes left
= 240 + 15
= $255
Answer(s): $255
