In an envelope, there were a total of 495 notes. 60% of them were $10-notes. The rest were $100-notes. Ethan took out some $10-notes. As a result, the remaining $10-notes made up 10% of the notes left in the envelope. Find the total value of the $10-notes Ethan took out from the envelope.
|
$10 |
$100 |
Total |
Before |
3x9 = 27 u |
2x9 = 18 u |
5x9 = 45 u |
Change |
- ? |
|
|
After |
1x2 = 2 u |
9x2 = 18 u |
10x2 = 20 u |
60% =
60100 =
35
10% =
10100 =
110
The number of $100-notes remains unchanged. Make the number of $100-notes the same. LCM of 2 and 9 is 18.
Total number of notes at first = 45 u
45 u = 495
1 u = 495 ÷ 45 = 11
Number of $10-notes that Ethan took out from the envelope
= 27 u - 2 u
= 25 u
= 25 x 11
= 275
Total value of $10-notes taken out
= 275 x 10
= $2750
Answer(s): $2750