Carl had a total of 120 notes. The notes are $10 notes and $5 notes. After he spent 80% of the $10 notes and 60% of the $5 notes on one gas stove, he was left with 4 times as many $5 notes as $10 notes. How much did the gas stove cost?
|
$10 |
$5 |
Before |
5x1 = 5 u |
5x2 = 10 u
|
Change |
- 4x1 = - 4 u |
- 3x2 = - 6 u
|
After |
1x1 = 1 u |
2x2 = 4 u |
Comparing $10 and $5 in the end |
1x1 = 1 u
|
4x1 = 4 u |
80% of $10 notes =
80
100 of $10 notes =
45 of $10 notes
60% of $5 notes =
60100 of $5 notes =
35 of $5 notes
The number of $10 notes in the end is repeated. Make the number of $10 notes the same. LCM of 2 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
= 5 u + 10 u
= 15 u
15 u = 120
1 u = 120 ÷ 15 = 8
|
$10 |
$5 |
Number |
4 u |
6 u |
Value |
10 |
5 |
Total value |
40 u |
30 u |
Value of $10 spent
= 4 u x 10
= 40 u
Value of $5 spent
= 6 u x 5
= 30 u
Price of the gas stove
= 40 u + 30 u
= 70 u
= 70 x 8
= $560
Answer(s): $560