In a shopping centre that sells jackets, 50 white jackets were sold and 50% of the remaining jackets that were sold were grey. Of the leftover, 40% of the jackets sold were yellow jackets and the rest were red jackets. Given that the number of red jackets sold was 25% of the total number of jackets sold, how many grey and white jackets were sold altogether?
50% =
50100 =
12 40% =
40100 =
25 25% =
25100 =
14
White |
Grey |
Yellow |
Red |
50 |
1x5 |
1x5 |
|
|
2x1 |
3x1 |
3x3 |
1x3 |
2 u |
5 u |
2 u |
3 u |
The total number of yellow and red shirts is the combined repeated identity. Make the total number of yellow and red shirts the same. LCM of 1 and 5 is 5.
The number of red shirts is repeated. Make the number of red shirts the same. LCM of 3 and 1 is 3.
Number of white jackets
= 9 u - 5 u - 2 u
= 2 u
2 u = 50
1 u = 50 ÷ 2 = 25
Number of grey and white jackets
= 5 u + 50
= (5 x 25) + 50
= 125 + 50
= 175
Answer(s): 175