Vanessa had an equal number of $10 and $2 notes. After spending 33 pieces of $2 and 25 pieces of $10 notes, the ratio of the $10 notes to $2 notes left was 3 : 1. Find the value of the notes left.
| |
$10 |
$2 |
| Before |
3 u + 25 |
1 u + 33 |
| Change |
- 25 |
- 33 |
| After |
3 u |
1 u |
Number of $10 notes at first = 3 u + 25
Number of $2 notes at first = 1 u + 33
The number of $10 and $2 notes at first is the same.
3 u + 25 = 1 u + 33
3 u - 1 u = 33 - 25
2 u = 8
1 u = 8 ÷ 2 = 4
Value of $10-notes left
= 3 u x 10
= 3 x 4 x 10
= $120
Value of $2-notes left
= 1 u x 2
= 1 x 4 x 2
= $8
Value of notes left
= 120 + 8
= $128
Answer(s): $128
