In a container, there are candy canes of 3 colours, purple, white and red. There are 210 more white candy canes than red candy canes. The number of red candy canes is
14 more than the purple candy canes. Given that the number of red candy canes is 25% of the total number of candy canes in the container, how many more white candy canes are there than purple candy canes?
Purple candy canes |
White candy canes |
Red candy canes |
|
1 u + 210 |
1 u |
4x5 |
|
5x5 |
75% |
25% |
20% |
55% |
25% |
1 +
14 =
44 +
14 =
54 Yellow candy canes : Purple candy canes = 4 : 5
The number of red candy canes is repeated. Make the number of red candy canes the same.
5 x 5 = 25%
Total number of purple candy canes and white candy canes in percent
= 100% - 25%
= 75%
Number of white candy canes in percent
= 75% - 20%
= 55%
Number of more white candy canes than red candy canes in percent
= 55% - 20%
= 30%
30% = 210
1% = 210 ÷ 30 = 7
Number of more white candy canes than purple candy canes
= 55% - 20%
= 35%
= 35 x 7
= 245
Answer(s): 245