Winnie had an equal number of $100 and $10 notes. After spending 26 pieces of $10 and 23 pieces of $100 notes, the ratio of the $100 notes to $10 notes left was 4 : 1. Find the value of the notes left.
| |
$100 |
$10 |
| Before |
4 u + 23 |
1 u + 26 |
| Change |
- 23 |
- 26 |
| After |
4 u |
1 u |
Number of $100 notes at first = 4 u + 23
Number of $10 notes at first = 1 u + 26
The number of $100 and $10 notes at first is the same.
4 u + 23 = 1 u + 26
4 u - 1 u = 26 - 23
3 u = 3
1 u = 3 ÷ 3 = 1
Value of $100-notes left
= 4 u x 100
= 4 x 1 x 100
= $400
Value of $10-notes left
= 1 u x 10
= 1 x 1 x 10
= $10
Value of notes left
= 400 + 10
= $410
Answer(s): $410
