Zara had an equal number of $2 and $5 notes. After spending 44 pieces of $5 and 34 pieces of $2 notes, the ratio of the $2 notes to $5 notes left was 6 : 1. Find the value of the notes left.
| |
$2 |
$5 |
| Before |
6 u + 34 |
1 u + 44 |
| Change |
- 34 |
- 44 |
| After |
6 u |
1 u |
Number of $2 notes at first = 6 u + 34
Number of $5 notes at first = 1 u + 44
The number of $2 and $5 notes at first is the same.
6 u + 34 = 1 u + 44
6 u - 1 u = 44 - 34
5 u = 10
1 u = 10 ÷ 5 = 2
Value of $2-notes left
= 6 u x 2
= 6 x 2 x 2
= $24
Value of $5-notes left
= 1 u x 5
= 1 x 2 x 5
= $10
Value of notes left
= 24 + 10
= $34
Answer(s): $34
