Jen had an equal number of $100 and $1 notes. After spending 30 pieces of $1 and 15 pieces of $100 notes, the ratio of the $100 notes to $1 notes left was 6 : 1. Find the value of the notes left.
| |
$100 |
$1 |
| Before |
6 u + 15 |
1 u + 30 |
| Change |
- 15 |
- 30 |
| After |
6 u |
1 u |
Number of $100 notes at first = 6 u + 15
Number of $1 notes at first = 1 u + 30
The number of $100 and $1 notes at first is the same.
6 u + 15 = 1 u + 30
6 u - 1 u = 30 - 15
5 u = 15
1 u = 15 ÷ 5 = 3
Value of $100-notes left
= 6 u x 100
= 6 x 3 x 100
= $1800
Value of $1-notes left
= 1 u x 1
= 1 x 3 x 1
= $3
Value of notes left
= 1800 + 3
= $1803
Answer(s): $1803
