Carl had a total of 76 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 refrigerator, he was left with 3 times as many $5 notes as $2 notes. How much did the refrigerator cost?
|
$2 |
$5 |
Before |
4x1 = 4 u |
5x3 = 15 u
|
Change |
- 3x1 = - 3 u |
- 4x3 = - 12 u
|
After |
1x1 = 1 u |
1x3 = 3 u |
Comparing $2 and $5 in the end |
1x1 = 1 u
|
3x1 = 3 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 3 is 3.
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 + 15 u
= 19 u
19 u = 76
1 u = 76 ÷ 19 = 4
|
$2 |
$5 |
Number |
3 u |
12 u |
Value |
2 |
5 |
Total value |
6 u |
60 u |
Value of $2 spent
= 3 u x 2
= 6 u
Value of $5 spent
= 12 u x 5
= 60 u
Price of the refrigerator
= 6 u + 60 u
= 66 u
= 66 x 4
= $264
Answer(s): $264