In a shop that sells sweaters, 96 yellow sweaters were sold and 10% of the remaining sweaters that were sold were white. Of the leftover, 50% of the sweaters sold were gold sweaters and the rest were silver sweaters. Given that the number of silver sweaters sold was 25% of the total number of sweaters sold, how many white and silver sweaters were sold altogether?
10% =
10100 =
110 50% =
50100 =
12 25% =
25100 =
14
Yellow |
White |
Gold |
Silver |
96 |
1x2 |
9x2 |
|
|
1x9 |
1x9 |
3x9 |
1x9 |
16 u |
2 u |
9 u |
9 u |
The total number of gold and silver shirts is the combined repeated identity. Make the total number of gold and silver shirts the same. LCM of 9 and 2 is 18.
The number of silver shirts is repeated. Make the number of silver shirts the same. LCM of 9 and 1 is 9.
Number of yellow sweaters
= 27 u - 2 u - 9 u
= 16 u
16 u = 96
1 u = 96 ÷ 16 = 6
Number of white and silver sweaters
= 2 u + 9 u
= 11 u
= 11 x 6
= 66
Answer(s): 66