Joelle had an equal number of $10 and $20 notes. After spending 49 pieces of $20 and 41 pieces of $10 notes, the ratio of the $10 notes to $20 notes left was 5 : 1. Find the value of the notes left.
| |
$10 |
$20 |
| Before |
5 u + 41 |
1 u + 49 |
| Change |
- 41 |
- 49 |
| After |
5 u |
1 u |
Number of $10 notes at first = 5 u + 41
Number of $20 notes at first = 1 u + 49
The number of $10 and $20 notes at first is the same.
5 u + 41 = 1 u + 49
5 u - 1 u = 49 - 41
4 u = 8
1 u = 8 ÷ 4 = 2
Value of $10-notes left
= 5 u x 10
= 5 x 2 x 10
= $100
Value of $20-notes left
= 1 u x 20
= 1 x 2 x 20
= $40
Value of notes left
= 100 + 40
= $140
Answer(s): $140
