Tammy had an equal number of $10 and $1 notes. After spending 41 pieces of $1 and 25 pieces of $10 notes, the ratio of the $10 notes to $1 notes left was 5 : 1. Find the value of the notes left.
| |
$10 |
$1 |
| Before |
5 u + 25 |
1 u + 41 |
| Change |
- 25 |
- 41 |
| After |
5 u |
1 u |
Number of $10 notes at first = 5 u + 25
Number of $1 notes at first = 1 u + 41
The number of $10 and $1 notes at first is the same.
5 u + 25 = 1 u + 41
5 u - 1 u = 41 - 25
4 u = 16
1 u = 16 ÷ 4 = 4
Value of $10-notes left
= 5 u x 10
= 5 x 4 x 10
= $200
Value of $1-notes left
= 1 u x 1
= 1 x 4 x 1
= $4
Value of notes left
= 200 + 4
= $204
Answer(s): $204
