Irene had an equal number of $1 and $50 notes. After spending 49 pieces of $50 and 39 pieces of $1 notes, the ratio of the $1 notes to $50 notes left was 6 : 1. Find the value of the notes left.
| |
$1 |
$50 |
| Before |
6 u + 39 |
1 u + 49 |
| Change |
- 39 |
- 49 |
| After |
6 u |
1 u |
Number of $1 notes at first = 6 u + 39
Number of $50 notes at first = 1 u + 49
The number of $1 and $50 notes at first is the same.
6 u + 39 = 1 u + 49
6 u - 1 u = 49 - 39
5 u = 10
1 u = 10 ÷ 5 = 2
Value of $1-notes left
= 6 u x 1
= 6 x 2 x 1
= $12
Value of $50-notes left
= 1 u x 50
= 1 x 2 x 50
= $100
Value of notes left
= 12 + 100
= $112
Answer(s): $112
