Jean had an equal number of $100 and $10 notes. After spending 34 pieces of $10 and 19 pieces of $100 notes, the ratio of the $100 notes to $10 notes left was 6 : 1. Find the value of the notes left.
| |
$100 |
$10 |
| Before |
6 u + 19 |
1 u + 34 |
| Change |
- 19 |
- 34 |
| After |
6 u |
1 u |
Number of $100 notes at first = 6 u + 19
Number of $10 notes at first = 1 u + 34
The number of $100 and $10 notes at first is the same.
6 u + 19 = 1 u + 34
6 u - 1 u = 34 - 19
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 $10-notes left
= 1 u x 10
= 1 x 3 x 10
= $30
Value of notes left
= 1800 + 30
= $1830
Answer(s): $1830
