Hilda had an equal number of $100 and $20 notes. After spending 35 pieces of $20 and 19 pieces of $100 notes, the ratio of the $100 notes to $20 notes left was 5 : 1. Find the value of the notes left.
| |
$100 |
$20 |
| Before |
5 u + 19 |
1 u + 35 |
| Change |
- 19 |
- 35 |
| After |
5 u |
1 u |
Number of $100 notes at first = 5 u + 19
Number of $20 notes at first = 1 u + 35
The number of $100 and $20 notes at first is the same.
5 u + 19 = 1 u + 35
5 u - 1 u = 35 - 19
4 u = 16
1 u = 16 ÷ 4 = 4
Value of $100-notes left
= 5 u x 100
= 5 x 4 x 100
= $2000
Value of $20-notes left
= 1 u x 20
= 1 x 4 x 20
= $80
Value of notes left
= 2000 + 80
= $2080
Answer(s): $2080
