The Cyclepaths Bicycle Factory has 300 bicycles in stock. The bicycles are either blue or red, and they come in two sizes: large and small. If 175 of the bicycles are blue, and 140 are large, how many are both blue and large

105

Step-by-step explanation:

Total Number of Bicycles=300

Number of Blue (B) = 175

Number of Large (L) = 140

Number of Small Red (S) = 90

Total Bicycles = Large + Small

300 = 140 + Small

Small bicycles = 300-140=160

Since Number of Small Red (S) = 90

Number of Small Blue = 160-90=70

Total Number of Blue Bicycles=175

Small Blue Bicycles + Large Blue Bicycles=175

70 + Large Blue Bicycles=175

Large Blue Bicycles = 175-70=105

There are 105 large blue Bicycles.