A colony of bees can contain up to 80000 individuals. In winter they are more exposed to death, and if the winter is really cold the bees can begin to die slowly. If the colony starts to lose 1200 bees per day, how many days will pass until the number of bees in the colony reaches a fourth of its initial number?

How many bees are in a fourth of the colony? ** A fourth of the initial number of bees is 80000 bees / 4 =

<<80000/4=20000>>20000 bees How many bees have to die? ** The number of bees that has to die is 80000 bees – 20000 bees = <<80000-20000=60000>>60000 bees How many days will pass until the number of bees in the colony reaches a fourth of its initial number? ** For the colony to reach a fourth of its population, 60000 bees ÷ 1200 bees/day = <<60000/1200=50>>50 days have to pass. #### 50 Robert, a sales agent, earns a basic salary of $1250 per month and, 10% commission on his monthly sales. Last month, his total sales were $23600. He allocated 20% of his total earnings to savings and the rest of the money to his monthly expenses. How much were his monthly expenses last month? How much was his commission? ** Robert earned a commission of $23600 x 10/100 = $<<23600*10/100=2360>>2360. How much did Robert earn in total? ** So, he earned a total of $1250 + $2360 = $<<1250+2360=3610>>3610. How much did Robert save? ** And, he saved $3610 x 20/100 = $<<3610*20/100=722>>722. How much were his monthly expenses last month? ** Therefore, his total expenses last month was $3610 - $722= $<<3610-722=2888>>2888 #### 2888 There are 3 workers producing chairs in a furniture factory. Each of them produces 4 chairs an hour. As a group, they produce an additional chair every 6 hours. In total, how many chairs have been produced after 6 hours? How many chairs do the workers produce every hour? ** The workers produce a combined total of 3 workers * 4 hours = <<3*4=12>>12 chairs every hour. How many chairs have the workers produced after 6 hours? ** After 6 hours, they have therefore produced 12 * 6 = <<12*6=72>>72 chairs. How many chairs have been produced after 6 hours? ** Adding the additional chair means the total amount of chairs produced is 72 + 1 = <<72+1=73>>73 chairs. #### 73 Jenna works as a truck driver. She gets paid $0.40 cents per mile. If she drives 400 miles one way, how much does she get paid for a round trip? How many miles does Jenna drive? ** First find the total number of miles Jenna drives: 400 miles/way * 2 ways = 800 miles How much does Jenna get paid? ** Then multiply that number by her pay per mile to find her total pay: 800 miles * $0.40/mile = $<<800*0.4=320>>320 #### 320 Tim's car goes down in value by $1000 a year. He bought it for $20,000. How much is it worth after 6 years? How much did it go down in value? ** It went down in value 1000*6=$<<1000*6=6000>>6000 How much is the car worth after 6 years? ** So the car is worth 20000-6000=$<<20000-6000=14000>>14,000 #### 14000 Andy can get 50 demerits in a month before getting fired. If he got 2 demerits per instance for showing up late 6 times and 15 demerits for making an inappropriate joke, how many more demerits can he get this month before getting fired? How many demerits did Andy get for showing up late? ** First find how many demerits Andy got for showing up late: 2 demerits/time * 6 times = <<2*6=12>>12 demerits How many more demerits can Andy get this month before getting fired? ** Then subtract the number of demerits he's gotten so far to find how many more he can get before getting fired: 50 demerits - 12 demerits - 15 demerits = <<50-12-15=23>>23 demerits #### 23 A group of 300 athletes spent Saturday night at Ultimate Fitness Camp. The next morning, for 4 hours straight, they left the camp at a rate of 28 athletes per hour. Over the next 7 hours, a new group of athletes trickled into the camp at a rate of 15 athletes per hour. Immediately thereafter, the camp gate was shut and everyone went to bed. What is the difference in the total number of athletes in the camp over the two nights? How many athletes left the camp on Saturday morning? ** The number that left the camp on Saturday morning was 4*28 = <<4*28=112>>112 athletes How many athletes were left in the camp after Saturday morning? ** This means that in the camp there remained 300-112 = <<300-112=188>>188 athletes. How many athletes trickled in on Sunday morning? ** The new group trickling in on Sunday morning comprised 7*15 = <<7*15=105>>105 athletes How many athletes slept at the camp on Sunday night? ** The number that slept at the camp on Sunday night is therefore 188 + 105 = <<188+105=293>>293 athletes What is the difference in the total number of athletes in the camp over the two nights? ** Since there were 300 athletes on Saturday night, the difference is 300 - 293 = <<300-293=7>>7 athletes. #### 7 A mother is making her own bubble mix out of dish soap and water for her two-year-old son. The recipe she is following calls for 3 tablespoons of soap for every 1 cup of water. If the container she hopes to store the bubble mix in can hold 40 ounces of liquid, and there are 8 ounces in a cup of water, how many tablespoons of soap should she add to the container (assuming that the soap itself doesn't count towards the capacity of the container)? How many cups of water can the container hold? ** The 40-ounce container can hold 40/8 = <<40/8=5>>5 cups of water. How many tablespoons of soap should be used? ** This means that 5*3 = <<5*3=15>>15 tablespoons of soap should be used, since each cup of water requires 3 tablespoons of soap. #### 15 A bird is building a nest from twigs. The bird has put twelve twigs together already to make a circle. For each twig it placed into the circle, it wants to weave in six more twigs to fill out the nest. It knows a tree that has dropped a third of the twigs it needs. How many twigs will the bird still need to find to finish its nest? How many twigs does the bird want to add to the nest? ** The bird wants 12 * 6 = <<12*6=72>>72 twigs to add to the nest. How many twigs has the tree dropped? ** It knows a tree that has dropped 72 * 1 / 3 = <<72*1/3=24>>24 twigs. How many more twigs will the bird need to finish the nest? ** Thus, the bird will still need 72 - 24 = <<72-24=48>>48 twigs to finish the nest. #### 48 Nellie had 380 legos, but she lost 57 of them and gave her sister 24 legos. How many legos does she have now? How many legos does Nellie have after losing 57 legos? ** After losing 57 legos, Nellie has 380 - 57 = <<380-57=323>>323 legos. How many legos does Nellie have after giving her sister 24 legos? ** After giving her sister 24 legos Nellie has 323 - 24 = <<323-24=299>>299 legos #### 299