Victoria had an equal number of $10 and $50 notes. After spending 43 pieces of $50 and 13 pieces of $10 notes, the ratio of the $10 notes to $50 notes left was 7 : 1. Find the value of the notes left.
| |
$10 |
$50 |
| Before |
7 u + 13 |
1 u + 43 |
| Change |
- 13 |
- 43 |
| After |
7 u |
1 u |
Number of $10 notes at first = 7 u + 13
Number of $50 notes at first = 1 u + 43
The number of $10 and $50 notes at first is the same.
7 u + 13 = 1 u + 43
7 u - 1 u = 43 - 13
6 u = 30
1 u = 30 ÷ 6 = 5
Value of $10-notes left
= 7 u x 10
= 7 x 5 x 10
= $350
Value of $50-notes left
= 1 u x 50
= 1 x 5 x 50
= $250
Value of notes left
= 350 + 250
= $600
Answer(s): $600
