Ivory had an equal number of $5 and $10 notes. After spending 45 pieces of $10 and 15 pieces of $5 notes, the ratio of the $5 notes to $10 notes left was 7 : 1. Find the value of the notes left.
|
$5 |
$10 |
Before |
7 u + 15 |
1 u + 45 |
Change |
- 15 |
- 45 |
After |
7 u |
1 u |
Number of $5 notes at first = 7 u + 15
Number of $10 notes at first = 1 u + 45
The number of $5 and $10 notes at first is the same.
7 u + 15 = 1 u + 45
7 u - 1 u = 45 - 15
6 u = 30
1 u = 30 ÷ 6 = 5
Value of $5-notes left
= 7 u x 5
= 7 x 5 x 5
= $175
Value of $10-notes left
= 1 u x 10
= 1 x 5 x 10
= $50
Value of notes left
= 175 + 50
= $225
Answer(s): $225