Hilda had an equal number of $10 and $2 notes. After spending 50 pieces of $2 and 40 pieces of $10 notes, the ratio of the $10 notes to $2 notes left was 7 : 5. Find the value of the notes left.
| |
$10 |
$2 |
| Before |
7 u + 40 |
5 u + 50 |
| Change |
- 40 |
- 50 |
| After |
7 u |
5 u |
Number of $10 notes at first = 7 u + 40
Number of $2 notes at first = 5 u + 50
The number of $10 and $2 notes at first is the same.
7 u + 40 = 5 u + 50
7 u - 5 u = 50 - 40
2 u = 10
1 u = 10 ÷ 2 = 5
Value of $10-notes left
= 7 u x 10
= 7 x 5 x 10
= $350
Value of $2-notes left
= 5 u x 2
= 5 x 5 x 2
= $50
Value of notes left
= 350 + 50
= $400
Answer(s): $400
