In a mall that sells sweaters, 475 silver sweaters were sold and 10% of the remaining sweaters that were sold were purple. Of the leftover, 50% of the sweaters sold were white sweaters and the rest were grey sweaters. Given that the number of grey sweaters sold was 20% of the total number of sweaters sold, how many purple and silver sweaters were sold altogether?
10% =
10100 =
110 50% =
50100 =
12 20% =
20100 =
15
Silver |
Purple |
White |
Grey |
475 |
1x2 |
9x2 |
|
|
1x9 |
1x9 |
4x9 |
1x9 |
25 u |
2 u |
9 u |
9 u |
The total number of white and grey shirts is the combined repeated identity. Make the total number of white and grey shirts the same. LCM of 9 and 2 is 18.
The number of grey shirts is repeated. Make the number of grey shirts the same. LCM of 9 and 1 is 9.
Number of silver sweaters
= 36 u - 2 u - 9 u
= 25 u
25 u = 475
1 u = 475 ÷ 10 = 19
Number of purple and silver sweaters
= 2 u + 475
= 2 x 19 + 475
= 38 + 475
= 513
Answer(s): 513