Carl had a total of 125 notes. The notes are $5 notes and $2 notes. After he spent 80% of the $5 notes and 60% of the $2 notes on one blender, he was left with 3 times as many $2 notes as $5 notes. How much did the blender cost?
|
$5 |
$2 |
Before |
5x2 = 10 u |
5x3 = 15 u
|
Change |
- 4x2 = - 8 u |
- 3x3 = - 9 u
|
After |
1x2 = 2 u |
2x3 = 6 u |
Comparing $5 and $2 in the end |
1x2 = 2 u
|
3x2 = 6 u |
80% of $5 notes =
80
100 of $5 notes =
45 of $5 notes
60% of $2 notes =
60100 of $2 notes =
35 of $2 notes
The number of $5 notes in the end is repeated. Make the number of $5 notes the same. LCM of 2 and 3 is 6.
The number of $2 notes in the end is repeated. Make the number of $2 notes the same. LCM of 1 and 2 is 2.
Number of notes at first
= 10 u + 15 u
= 25 u
25 u = 125
1 u = 125 ÷ 25 = 5
|
$5 |
$2 |
Number |
8 u |
9 u |
Value |
5 |
2 |
Total value |
40 u |
18 u |
Value of $5 spent
= 8 u x 5
= 40 u
Value of $2 spent
= 9 u x 2
= 18 u
Price of the blender
= 40 u + 18 u
= 58 u
= 58 x 5
= $290
Answer(s): $290