In a boutique that sells jackets, 832 red jackets were sold and 25% of the remaining jackets that were sold were yellow. Of the leftover, 50% of the jackets sold were brown jackets and the rest were white jackets. Given that the number of white jackets sold was 5% of the total number of jackets sold, how many yellow and red jackets were sold altogether?
25% =
25100 =
14 50% =
50100 =
12 5% =
5100 =
120
Red |
Yellow |
Brown |
White |
832 |
1x2 |
3x2 |
|
|
1x3 |
1x3 |
19x3 |
1x3 |
52 u |
2 u |
3 u |
3 u |
The total number of brown and white shirts is the combined repeated identity. Make the total number of brown and white shirts the same. LCM of 3 and 2 is 6.
The number of white shirts is repeated. Make the number of white shirts the same. LCM of 3 and 1 is 3.
Number of red jackets
= 57 u - 2 u - 3 u
= 52 u
52 u = 832
1 u = 832 ÷ 52 = 16
Number of yellow and red jackets
= 2 u + 832
= (2 x 16) + 832
= 32 + 832
= 864
Answer(s): 864