Carl had a total of 208 notes. The notes are $10 notes and $5 notes. After he spent 90% of the $10 notes and 75% of the $5 notes on one television set, he was left with 4 times as many $5 notes as $10 notes. How much did the television set cost?
|
$10 |
$5 |
Before |
10x1 = 10 u |
4x4 = 16 u
|
Change |
- 9x1 = - 9 u |
- 3x4 = - 12 u
|
After |
1x1 = 1 u |
1x4 = 4 u |
Comparing $10 and $5 in the end |
1x1 = 1 u
|
4x1 = 4 u |
90% of $10 notes =
90
100 of $10 notes =
910 of $10 notes
75% of $5 notes =
75100 of $5 notes =
34 of $5 notes
The number of $10 notes in the end is repeated. Make the number of $10 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
= 10 u + 16 u
= 26 u
26 u = 208
1 u = 208 ÷ 26 = 8
|
$10 |
$5 |
Number |
9 u |
12 u |
Value |
10 |
5 |
Total value |
90 u |
60 u |
Value of $10 spent
= 9 u x 10
= 90 u
Value of $5 spent
= 12 u x 5
= 60 u
Price of the television set
= 90 u + 60 u
= 150 u
= 150 x 8
= $1200
Answer(s): $1200