Eva had an equal number of $10 and $5 notes. After spending 33 pieces of $5 and 25 pieces of $10 notes, the ratio of the $10 notes to $5 notes left was 5 : 1. Find the value of the notes left.
| |
$10 |
$5 |
| Before |
5 u + 25 |
1 u + 33 |
| Change |
- 25 |
- 33 |
| After |
5 u |
1 u |
Number of $10 notes at first = 5 u + 25
Number of $5 notes at first = 1 u + 33
The number of $10 and $5 notes at first is the same.
5 u + 25 = 1 u + 33
5 u - 1 u = 33 - 25
4 u = 8
1 u = 8 ÷ 4 = 2
Value of $10-notes left
= 5 u x 10
= 5 x 2 x 10
= $100
Value of $5-notes left
= 1 u x 5
= 1 x 2 x 5
= $10
Value of notes left
= 100 + 10
= $110
Answer(s): $110
