Carl had a total of 225 notes. The notes are $10 notes and $2 notes. After he spent 90% of the $10 notes and 60% of the $2 notes on one gas stove, he was left with 5 times as many $2 notes as $10 notes. How much did the gas stove cost?
|
$10 |
$2 |
Before |
10x2 = 20 u |
5x5 = 25 u
|
Change |
- 9x2 = - 18 u |
- 3x5 = - 15 u
|
After |
1x2 = 2 u |
2x5 = 10 u |
Comparing $10 and $2 in the end |
1x2 = 2 u
|
5x2 = 10 u |
90% of $10 notes =
90
100 of $10 notes =
910 of $10 notes
60% of $2 notes =
60100 of $2 notes =
35 of $2 notes
The number of $10 notes in the end is repeated. Make the number of $10 notes the same. LCM of 2 and 5 is 10.
The number of $2 notes in the end is repeated. Make the number of $2 notes the same. LCM of 1 and 2 is 2.
Number of notes at first
= 20 u + 25 u
= 45 u
45 u = 225
1 u = 225 ÷ 45 = 5
|
$10 |
$2 |
Number |
18 u |
15 u |
Value |
10 |
2 |
Total value |
180 u |
30 u |
Value of $10 spent
= 18 u x 10
= 180 u
Value of $2 spent
= 15 u x 2
= 30 u
Price of the gas stove
= 180 u + 30 u
= 210 u
= 210 x 5
= $1050
Answer(s): $1050