James's favorite basketball player got paid based on how many points he averaged each week. He gets $10,000 if he averages 30 or more points a game and $8,000 if he averages under 30 points a game. For his last week, in the first game he scored 30 points and in the second game he scored 28 points. In the third game he scored 32 points. In the fourth game he scored 34 points and in the fifth game he scored 26 points. How much does he get paid for the week?
How many points did his favorite player score? ** His favorite player scored 150 total points that week because 30 plus 28 plus 32 plus 34 plus 26 equals 150
How many points did his favorite player average? ** He averaged 30 points a game because 150 divided by 5 equals
<<150/5=30>>30. How much does he get paid if he averages 30 or more points? ** He gets paid $10,000 because that's how much he gets if he averages 30 or more points that week. #### 10,000 There are 6 people going on an airplane trip. They each have 5 bags of luggage. Each of their bags weighs the maximum weight allowed, 50 pounds. The airplane can hold a total luggage weight of 6000 pounds. How many more bags at maximum weight can the plane hold? How many pounds of luggage did each person bring? ** Each person brought 5 bags * 50 pounds per bag = <<5*50=250>>250 pounds per person. How many pounds of luggage are on the plane? ** There are 6 people * 250 pounds per person = <<6*250=1500>>1500 pounds of luggage on the plane. How many pounds of luggage space is left? ** The plan can hold 6000 pounds - 1500 pounds = <<6000-1500=4500>>4500 pounds of luggage space left. How many more bags at maximum weight can the plane hold? ** The plane can hold an additional 4500 pounds / 50 pounds per bag = <<4500/50=90>>90 pieces of luggage. #### 90 Salvadore earned $1956. Santo earned half of what Salvadore earned. How much money did the two men earn together? How much did Santo earn? ** Santo = (1/2) 1956 = $978 How much money did the two men earn together? ** 1956 + 978 = $<<1956+978=2934>>2934 How much money did the two men earn together? ** Together Salvadore and Santo earned $<<2934=2934>>2934. #### 2934 Joe played catch with Derek and Tammy. He caught the ball 23 times. Derek made four less than double the catches Joe did. Tammy caught the ball sixteen more than a third of the times Derek did. How many times did Tammy catch the ball? How many times did Derek catch the ball? ** Derek caught the ball 2 * 23 - 4 = 46 - 4 = <<2*23-4=42>>42 times. How many times did Tammy catch the ball? ** Tammy caught the ball 42 / 3 + 16 = 14 + 16 = <<42/3+16=30>>30 times. #### 30 John is very unfit and decides to work up to doing a push-up. He trains 5 days a week for them and starts with wall push-ups. He adds 1 rep a day and once he gets to 15 reps he will start training high elevation push-ups. and then low elevation push-ups, and finally floor push-ups. How many weeks will it take him to get to floor push-ups? How many reps does John need to do? ** He needs to do 15*3=<<15*3=45>>45 progressions How many weeks will it take him to get to floor push-ups? ** That will take 45/5=<<45/5=9>>9 weeks #### 9 At a garage sale, Tish bought 4 items: a red horseshoe magnet, two stuffed animals, and a large sticker which read, "Why can't teachers solve their own math problems?" The magnet cost three times more than the sticker, but only one quarter the price of the two stuffed animals combined. If the Magnet cost $3, how much, in dollars, did a single stuffed animal cost? How much did the sticker cost? ** If the magnet cost 3-times more than the sticker, the sticker cost 3/1=1 dollar. How much did the two stuffed animals cost? ** If the magnet cost 1/4 the price of the two stuffed animals combined, then two stuffed animals cost 3*4=12 dollars. How much did a single stuffed animal cost? ** Thus, a single stuffed animal cost 12/2=<<12/2=6>>6 dollars. #### 6 Yasna has two books. One book is 180 pages long, and the other book is 100 pages long. If Yasna wants to finish both of the books in two weeks, how many pages will Yasna need to read every day, if she reads an equal number of pages each day? How many pages are in the books? ** The total number of pages is 180 + 100 = <<180+100=280>>280 pages How many pages does Yasna need to read every day? ** The number of pages Yasna needs to read every day for two weeks is 280 / 14 = <<280/14=20>>20 pages #### 20 From March to August, Sam made $460 doing 23 hours of yard work. However, from September to February, Sam was only able to work for 8 hours. If Sam is saving up to buy a video game console that costs $600 and has already spent $340 to fix his car, how many more hours does he need to work before he can buy the video game console? How much does Sam make per hour? ** Sam makes $460 / 23 hrs = $<<460/23=20>>20/hr. How much did Sam make from September to February? ** From September to February, Sam made 8hrs x $20/hr = $<<8*20=160>>160. How much did Sam make from March to February? ** From March to February, Sam made a total of $460 + $160 = $620. How much money did Sam have after fixing his car? ** After fixing his car, he was left with $620 - $340 = $<<620-340=280>>280. How much money does Sam need to buy the video game console? ** Sam needs another $600 - $280 = $<<600-280=320>>320. How many more hours does Sam need to work? ** Sam needs to work another $320 / $20/hr = <<320/20=16>>16 hours. #### 16 Carla's sheepdog rounded up 90% of her sheep, but the remaining 10% wandered off into the hills. If there are 81 sheep in the pen, how many are out in the wilderness? How many sheep were rounded up? ** First find the total number of sheep by dividing the number rounded up by 90%: 81 sheep / .9 = <<81/.9=90>>90 sheep How many sheep are in the hills? ** Then multiply that number by 10% to find the number that are in the hills: 90 sheep * 10% = <<90*10*.01=9>>9 sheep #### 9 Terese thinks that running various distances throughout the week can make one healthy. On Monday, she runs 4.2 miles; Tuesday, 3.8 miles; Wednesday, 3.6 miles; and on Thursday, 4.4 miles. Determine the average distance Terese runs on each of the days she runs. How many miles does Terese run in total? ** The total distance Terese runs is 4.2 + 3.8+4.4 +3.6 = <<4.2+3.8+4.4+3.6=16>>16 miles. What is Terese's average distance? ** Therefore, she runs with an average distance of 16 /4 = <<16/4=4>>4 miles. #### 4