In a box, there are candy canes of 3 colours, gold, black and white. There are 135 more black candy canes than white candy canes. The number of white candy canes is
15 more than the gold candy canes. Given that the number of white candy canes is 30% of the total number of candy canes in the box, how many more black candy canes are there than gold candy canes?
Gold candy canes |
Black candy canes |
White candy canes |
|
1 u + 135 |
1 u |
5x5 |
|
6x5 |
70% |
30% |
25% |
45% |
30% |
1 +
15 =
55 +
15 =
65 Yellow candy canes : Purple candy canes = 5 : 6
The number of white candy canes is repeated. Make the number of white candy canes the same.
6 x 5 = 30%
Total number of gold candy canes and black candy canes in percent
= 100% - 30%
= 70%
Number of black candy canes in percent
= 70% - 25%
= 45%
Number of more black candy canes than white candy canes in percent
= 45% - 25%
= 15%
15% = 135
1% = 135 ÷ 15 = 9
Number of more black candy canes than gold candy canes
= 45% - 25%
= 20%
= 20 x 9
= 180
Answer(s): 180