Allyn is a golfer. At the starting tee, he hit the golf ball and it traveled 180 yards straight toward the hole. On his second turn, he hit the ball again straight toward the hole and it traveled half as far as it did on his first turn, but the ball landed 20 yards beyond the hole. On his third swing, he hit the ball onto the green and it rolled into the hole. What is the distance, in yards, from the starting tee to the hole?

How far did the ball travel on his second turn? ** On his second turn, the ball traveled 180/2=

<<180/2=90>>90 yards. How far did the ball travel after two turns? ** After two turns, the ball had traveled 180+90=<<180+90=270>>270 yards. How far was the distance from the starting tee to the hole? ** Since, after the second turn, the ball was 20 yards past the hole, this means the distance from the starting tee to the hole was 270-20=<<270-20=250>>250 yards. #### 250 Daniel owns a textile company. Every Monday he delivers 20 yards of fabric, and every Tuesday he delivers twice the amount of fabric he delivers on Monday. Every Wednesday, he delivers 1/4 of the amount of fabric he delivers on Tuesday. If each yard of fabric costs $2 and each yard of yarn costs $3, how much does he earn from Monday to Wednesday? How many yards of fabric does Daniel deliver on Tuesday? ** Every Tuesday, Daniel delivers 20 x 2 = <<20*2=40>>40 yards of fabric. How many yards of fabric does Daniel deliver on Wednesday? ** Every Wednesday, he delivers 40 x 1/4 = <<40*1/4=10>>10 yards of fabric. How many yards of fabric does Daniel deliver from Monday to Wednesday? ** Thus, he delivers a total of 20 + 40 + 10 = <<20+40+10=70>>70 yards of fabric from Monday to Wednesday. How much does Daniel earn from Monday to Wednesday? ** Therefore, Daniel earns $2 x 70 = $<<2*70=140>>140 from it. #### 140 3 people run for president. John manages to capture 150 votes. James captures 70% of the remaining vote. If there were 1150 people voting, how many more votes did the third guy get than John? How many people didn|t vote for John? ** There were 1150-150=<<1150-150=1000>>1000 people who didn't vote for John How many votes did James get? ** That means James got 1000*.7=<<1000*.7=700>>700 votes How many votes did the other candidate get? ** So the other candidate got 1000-700=<<1000-700=300>>300 votes How many more votes did the third guy get than John? ** This means he got 300-150=<<300-150=150>>150 more votes than John. #### 150 Sara is 6 inches taller than her brother Joe. Joe is 3 inches taller than his friend Roy. If Roy is 36 inches tall, how tall is Sara? How tall is Roy? ** Roy is <<36=36>>36 inches tall How tall is Joe? ** Joe is 3+36=<<3+36=39>>39 inches tall How tall is Sara? ** Sara is 6+39=<<6+39=45>>45 inches tall #### 45 Jane's goal is to exercise 1 hour a day, 5 days a week. If she hits her goal weekly for 8 weeks, how many hours has Jane exercised? How many hours does Jane exercise in a week? ** Her goal is 1 hour a day for 5 days so on a weekly basis, she exercises 1*5 = <<1*5=5>>5 hours How many hours has Jane exercised? ** If she works 5 hours a week for 8 weeks then she exercises 5*8 = <<5*8=40>>40 hours in 8 weeks #### 40 Mehki is 10 years older than Jordyn. Jordyn's age is double Zrinka's age. If Zrinka is 6 years old, how many years old is Mehki? How old is Zrinka? ** Zrinka = <<6=6>>6 years How old is Jordyn? ** Jordyn = 2 * 6 = <<6*2=12>>12 years How old is Mehki? ** Mehki = 12 + 10 = <<12+10=22>>22 years How old is Mehki? ** Mehki is 22 years old. #### 22 Louise is baking cakes for a gathering. She needs 60 cakes in total, and has already produced half this many. Today, she calculates how many cakes she has left to make and bakes half this amount. The next day, she again calculates how many cakes she has left to make and bakes a third of this amount. How many more cakes does Louise need to bake? How many cakes has Louise already produced? ** Louise has already produced 60 cakes / 2 = <<60/2=30>>30 cakes. How many cakes does Louise bake after calculating how many cakes are left? ** After calculating how many cakes are left, she bakes another 30 cakes / 2 = <<30/2=15>>15 cakes. How many cakes does Louise bake the next day? ** The next day, she calculates again then bakes another 15 cakes / 3 = <<15/3=5>>5 cakes. How many more cakes does Louise need to bake? ** She therefore still needs to bake 60 – 30 – 15 – 5 = <<60-30-15-5=10>>10 cakes. #### 10 Rachel is stuffing envelopes. She has eight hours to complete the task, and there are 1,500 envelopes. In the first hour, Rachel stuffs 135 envelopes. The second hour she stuffs 141 envelopes. How many envelopes will Rachel need to stuff per hour to finish the job? How many envelopes does Rachel have left to stuff? ** Rachel has 1500 - 135 - 141 envelopes = <<1500-135-141=1224>>1224 envelopes remaining to stuff. How many hours does Rachel have left to finish the task? ** Rachel has 8 hours - 2 hours = <<8-2=6>>6 hours left to finish the task. How many envelopes does Rachel need to stuff per hour to finish the job? ** Rachel needs to stuff 1224 envelopes / 6 hours = <<1224/6=204>>204 envelopes per hour. #### 204 Lexie and Tom went apple picking. Lexie picked 12 apples and Tom picked twice as many apples. How many apples did they collect altogether? How many apples did Tom pick? ** Tom picked 12 x 2 = <<12*2=24>>24 apples How many apples did they collect altogether? ** Altogether, they picked 12 + 24 = <<12+24=36>>36 apples #### 36 It takes Jason 30 minutes to cut 1 lawn in his neighborhood. If he cuts 8 yards on both Saturday and Sunday, how many hours does he spend cutting grass? How many yards does Jason cut on both Saturday and Sunday? ** He cuts 8 yards on both Saturday and Sunday so that’s 2*8 = <<8*2=16>>16 yards How many minutes does it take Jason to cut 16 yards? ** It takes him 30 minutes to cut 1 yard so it takes him 30*16 = <<30*16=480>>480 minutes How many hours does Jason spend cutting grass? ** There are 60 minutes in 1 hour and it takes him 480 minutes so that’s a total of 480/60 = <<480/60=8>>8 hours #### 8