In a stall that sells jackets, 4900 white jackets were sold and 10% of the remaining jackets that were sold were grey. Of the leftover, 40% of the jackets sold were yellow jackets and the rest were gold jackets. Given that the number of gold jackets sold was 5% of the total number of jackets sold, how many grey and white jackets were sold altogether?
10% =
10100 =
110 40% =
40100 =
25 5% =
5100 =
120
White |
Grey |
Yellow |
Gold |
4900 |
1x5 |
9x5 |
|
|
2x9 |
3x9 |
19x27 |
1x27 |
490 u |
5 u |
18 u |
27 u |
The total number of yellow and gold shirts is the combined repeated identity. Make the total number of yellow and gold shirts the same. LCM of 9 and 5 is 45.
The number of gold shirts is repeated. Make the number of gold shirts the same. LCM of 27 and 1 is 27.
Number of white jackets
= 513 u - 5 u - 18 u
= 490 u
490 u = 4900
1 u = 4900 ÷ 490 = 10
Number of grey and white jackets
= 5 u + 4900
= (5 x 10) + 4900
= 50 + 4900
= 4950
Answer(s): 4950