A box contains some red, yellow and blue candies, 40% of a box of candies are red and the rest of the candies are yellow and blue in the ratio 3:2 respectively. If there are 18 more red candies than yellow candies, how many candies are there in the box?
+14929 How many candies are there in the box?
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\(x= {\color{red}40\%x}+{\color{Dandelion}\frac{3}{5}(x-40\%x)}+\color{blue}\frac{2}{5}(x-40\%x)\\ {\color{red}40\%x}={\color{Dandelion}\frac{3}{5}(x-40\%x)}+18\\ x= {0,4x}+{\frac{3}{5}(x-0,4x)}+\frac{2}{5}(x-0,4x)\\ {0,4x}={\frac{3}{5}(x-0,4x)}+18\\ 0,4x=0,6x-0,24x+18\\ 0,04x=18\\ x=450 \)
450 candies are there in the box.
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