Jade had an equal number of $50 and $5 notes. After spending 20 pieces of $5 and 14 pieces of $50 notes, the ratio of the $50 notes to $5 notes left was 4 : 1. Find the value of the notes left.
| |
$50 |
$5 |
| Before |
4 u + 14 |
1 u + 20 |
| Change |
- 14 |
- 20 |
| After |
4 u |
1 u |
Number of $50 notes at first = 4 u + 14
Number of $5 notes at first = 1 u + 20
The number of $50 and $5 notes at first is the same.
4 u + 14 = 1 u + 20
4 u - 1 u = 20 - 14
3 u = 6
1 u = 6 ÷ 3 = 2
Value of $50-notes left
= 4 u x 50
= 4 x 2 x 50
= $400
Value of $5-notes left
= 1 u x 5
= 1 x 2 x 5
= $10
Value of notes left
= 400 + 10
= $410
Answer(s): $410
