Carl had a total of 120 notes. The notes are $5 notes and $2 notes. After he spent 90% of the $5 notes and 60% of the $2 notes on one television set, he was left with 4 times as many $2 notes as $5 notes. How much did the television set cost?
|
$5 |
$2 |
Before |
10x1 = 10 u |
5x2 = 10 u
|
Change |
- 9x1 = - 9 u |
- 3x2 = - 6 u
|
After |
1x1 = 1 u |
2x2 = 4 u |
Comparing $5 and $2 in the end |
1x1 = 1 u
|
4x1 = 4 u |
90% of $5 notes =
90
100 of $5 notes =
910 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 4 is 4.
The number of $2 notes in the end is repeated. Make the number of $2 notes the same. LCM of 1 and 1 is 1.
Number of notes at first
= 10 u + 10 u
= 20 u
20 u = 120
1 u = 120 ÷ 20 = 6
|
$5 |
$2 |
Number |
9 u |
6 u |
Value |
5 |
2 |
Total value |
45 u |
12 u |
Value of $5 spent
= 9 u x 5
= 45 u
Value of $2 spent
= 6 u x 2
= 12 u
Price of the television set
= 45 u + 12 u
= 57 u
= 57 x 6
= $342
Answer(s): $342