Carl had a total of 168 notes. The notes are $2 notes and $5 notes. After he spent 75% of the $2 notes and 80% of the $5 notes on one television set, he was left with 4 times as many $5 notes as $2 notes. How much did the television set cost?
|
$2 |
$5 |
Before |
4x1 = 4 u |
5x4 = 20 u
|
Change |
- 3x1 = - 3 u |
- 4x4 = - 16 u
|
After |
1x1 = 1 u |
1x4 = 4 u |
Comparing $2 and $5 in the end |
1x1 = 1 u
|
4x1 = 4 u |
75% of $2 notes =
75
100 of $2 notes =
34 of $2 notes
80% of $5 notes =
80100 of $5 notes =
45 of $5 notes
The number of $2 notes in the end is repeated. Make the number of $2 notes the same. LCM of 1 and 4 is 4.
The number of $5 notes in the end is repeated. Make the number of $5 notes the same. LCM of 1 and 1 is 1.
Number of notes at first
= 4 u + 20 u
= 24 u
24 u = 168
1 u = 168 ÷ 24 = 7
|
$2 |
$5 |
Number |
3 u |
16 u |
Value |
2 |
5 |
Total value |
6 u |
80 u |
Value of $2 spent
= 3 u x 2
= 6 u
Value of $5 spent
= 16 u x 5
= 80 u
Price of the television set
= 6 u + 80 u
= 86 u
= 86 x 7
= $602
Answer(s): $602