Cathy had an equal number of $5 and $10 notes. After spending 48 pieces of $10 and 13 pieces of $5 notes, the ratio of the $5 notes to $10 notes left was 8 : 1. Find the value of the notes left.
|
$5 |
$10 |
Before |
8 u + 13 |
1 u + 48 |
Change |
- 13 |
- 48 |
After |
8 u |
1 u |
Number of $5 notes at first = 8 u + 13
Number of $10 notes at first = 1 u + 48
The number of $5 and $10 notes at first is the same.
8 u + 13 = 1 u + 48
8 u - 1 u = 48 - 13
7 u = 35
1 u = 35 ÷ 7 = 5
Value of $5-notes left
= 8 u x 5
= 8 x 5 x 5
= $200
Value of $10-notes left
= 1 u x 10
= 1 x 5 x 10
= $50
Value of notes left
= 200 + 50
= $250
Answer(s): $250