Lucy had an equal number of $5 and $2 notes. After spending 23 pieces of $2 and 19 pieces of $5 notes, the ratio of the $5 notes to $2 notes left was 5 : 1. Find the value of the notes left.
| |
$5 |
$2 |
| Before |
5 u + 19 |
1 u + 23 |
| Change |
- 19 |
- 23 |
| After |
5 u |
1 u |
Number of $5 notes at first = 5 u + 19
Number of $2 notes at first = 1 u + 23
The number of $5 and $2 notes at first is the same.
5 u + 19 = 1 u + 23
5 u - 1 u = 23 - 19
4 u = 4
1 u = 4 ÷ 4 = 1
Value of $5-notes left
= 5 u x 5
= 5 x 1 x 5
= $25
Value of $2-notes left
= 1 u x 2
= 1 x 1 x 2
= $2
Value of notes left
= 25 + 2
= $27
Answer(s): $27
