Be sure to show all work and all problem solving strategies. Give complete explanations for each step 1. Bikes' R' Us manufactures bikes that sell for $250. It costs the manufacturer $180/bike plus a $3500 startup fee. How many bikes will need to be sold for the manufacturer to break even? 2. The three most popular ice cream flavors are chocolate, strawberry, and vanilla, comprising 83% of the flavors sold at an ice cream shop. If vanilla sells 1% more than twice strawberry, and chocolate sells 11% more than vanilla, how much of the total ice cream consumption are chocolate, vanilla, and strawberry? 3. A bag of mixed nuts contains cashews, pistachios, and almonds. There are 1000 total nuts in the bag, and there are 100 less almonds than pistachios. The cashews weigh 3g, pistachios weigh 4g, and almonds weigh 5g. If the bag weighs 3.7 kg, how many of each type of nut is in the bag?