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?
Derek caught the ball 2 * 23 - 4 = 46 - 4 =
<<2*23-4=42>>42 times. 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? He needs to do 15*3=<<15*3=45>>45 progressions 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? If the magnet cost 3-times more than the sticker, the sticker cost 3/1=1 dollar. If the magnet cost 1/4 the price of the two stuffed animals combined, then two stuffed animals cost 3*4=12 dollars. 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? The total number of pages is 180 + 100 = <<180+100=280>>280 pages 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? Sam makes $460 / 23 hrs = $<<460/23=20>>20/hr. From September to February, Sam made 8hrs x $20/hr = $<<8*20=160>>160. From March to February, Sam made a total of $460 + $160 = $620. After fixing his car, he was left with $620 - $340 = $<<620-340=280>>280. Sam needs another $600 - $280 = $<<600-280=320>>320. 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? First find the total number of sheep by dividing the number rounded up by 90%: 81 sheep / .9 = <<81/.9=90>>90 sheep 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. 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. Therefore, she runs with an average distance of 16 /4 = <<16/4=4>>4 miles. #### 4 James buys steaks for buy one get one free. The price is $15 per pound and he buys 20 pounds. How much did he pay for the steaks? He pays for 20/2=<<20/2=10>>10 pounds of steaks That cost 10*15=$<<10*15=150>>150 #### 150 James drives 30 mph for half an hour and then twice as long for twice the speed. How far did he drive in total? His first drive was 30*.5=<<30*.5=15>>15 miles The next leg was .5*2=<<.5*2=1>>1 hour The speed of the trip was 30*2=<<30*2=60>>60 mph So he drove 60*1=<<60=60>>60 miles So in total he drove 60+15=<<60+15=75>>75 miles #### 75 The electricity price in Coco's town is $0.10 per kW. Coco's new oven has a consumption rate of 2.4 kWh (kilowatt-hours). How much will Coco pay for using his oven only if he used it for a total of 25 hours last month? If Coco used his oven 25 hours last month and its energy consumption is 2.4 kW per hour, then we consumed a total of 25*2.4= <<25*2.4=60>>60 kW on his oven last month If the price of electricity is $0.10 per kW, then 60 kW would cost = $0.10*60 = $<<0.10*60=6>>6 #### 6