Carl had a total of 34 notes. The notes are $5 notes and $10 notes. After he spent 80% of the $5 notes and 75% of the $10 notes on one blender, he was left with 3 times as many $10 notes as $5 notes. How much did the blender cost?
|
$5 |
$10 |
Before |
5x1 = 5 u |
4x3 = 12 u
|
Change |
- 4x1 = - 4 u |
- 3x3 = - 9 u
|
After |
1x1 = 1 u |
1x3 = 3 u |
Comparing $5 and $10 in the end |
1x1 = 1 u
|
3x1 = 3 u |
80% of $5 notes =
80
100 of $5 notes =
45 of $5 notes
75% of $10 notes =
75100 of $10 notes =
34 of $10 notes
The number of $5 notes in the end is repeated. Make the number of $5 notes the same. LCM of 1 and 3 is 3.
The number of $10 notes in the end is repeated. Make the number of $10 notes the same. LCM of 1 and 1 is 1.
Number of notes at first
= 5 u + 12 u
= 17 u
17 u = 34
1 u = 34 ÷ 17 = 2
|
$5 |
$10 |
Number |
4 u |
9 u |
Value |
5 |
10 |
Total value |
20 u |
90 u |
Value of $5 spent
= 4 u x 5
= 20 u
Value of $10 spent
= 9 u x 10
= 90 u
Price of the blender
= 20 u + 90 u
= 110 u
= 110 x 2
= $220
Answer(s): $220