Joelle had an equal number of $10 and $1 notes. After spending 50 pieces of $1 and 26 pieces of $10 notes, the ratio of the $10 notes to $1 notes left was 4 : 1. Find the value of the notes left.
| |
$10 |
$1 |
| Before |
4 u + 26 |
1 u + 50 |
| Change |
- 26 |
- 50 |
| After |
4 u |
1 u |
Number of $10 notes at first = 4 u + 26
Number of $1 notes at first = 1 u + 50
The number of $10 and $1 notes at first is the same.
4 u + 26 = 1 u + 50
4 u - 1 u = 50 - 26
3 u = 24
1 u = 24 ÷ 3 = 8
Value of $10-notes left
= 4 u x 10
= 4 x 8 x 10
= $320
Value of $1-notes left
= 1 u x 1
= 1 x 8 x 1
= $8
Value of notes left
= 320 + 8
= $328
Answer(s): $328
