Pat's stick is 30 inches long. He covers 7 inches of the stick in dirt. The portion that is not covered in dirt is half as long as Sarah’s stick. Jane’s stick is two feet shorter than Sarah’s stick. How many inches long is Jane’s stick?

30-7 =

<<30-7=23>>23 inches of Pat’s stick is not covered in dirt. Sarah’s stick is 23*2 = <<23*2=46>>46 inches long. Jane’s stick is 12*2 = <<12*2=24>>24 inches shorter than Sarah’s stick. Jane’s stick is 46-24 = <<46-24=22>>22 inches long. #### 22 Nicole has 4 fish tanks. The first two tanks need 8 gallons of water each and the other two need 2 fewer gallons of water each than the first two tanks. If Nicole needs to change the water of the aquarium every week, how many gallons of water will she need in four weeks? The first two tanks need 8 x 2 = <<8*2=16>>16 gallons of water. The other two tanks need 8 - 2 = <<8-2=6>>6 gallons of water each. So, the two other tanks need 6 x 2 = <<6*2=12>>12 gallons of water. Nicole needs 16 + 12 = <<16+12=28>>28 gallons of water every week for her four tanks. Therefore, she needs a total of 28 x 4 = <<28*4=112>>112 gallons of water in four weeks. #### 112 Jackson's oldest son gets 4 cookies after school and his youngest son gets 2 cookies after school. If there are 54 cookies in a box, how many days will the box last? The oldest son gets 4 cookies and the youngest gets 2, so every day they eat 4+2 = <<4+2=6>>6 cookies There are 54 cookies in a box and the boys eat 6 cookies a day, so the box will last 54/6 = <<54/6=9>>9 days #### 9 Robi and Rudy contributed money to start a business that could earn them profit. Robi contributed $4000, and Rudy contributed 1/4 more money than Robi. If they made a profit of 20 percent of the total amount and decided to share the profits equally, calculate the amount of money each got. If Robi contributed $4000, then Rudy contributed 1/4*4000 = $1000 more. The total amount of money Rudy contributed is $4000+$1000 = $<<4000+1000=5000>>5000 Together, the contributed a total of $5000+$4000 = $<<5000+4000=9000>>9000 They made a 20% profit, a total of 20/100*$9000 = $<<20/100*9000=1800>>1800 When they decided to share the profit equally, each received $1800/2 = $<<1800/2=900>>900 #### 900 Lyanna set up a food bank to collect food to give to the homeless in her local town. In the first week, 40 pounds of food were donated to the food bank by the people of her local town. In the second week, donations were twice as high as the first week. If she gave out 70% of the donated food to the homeless in the third week, calculate the amount of food remaining in the food bank. If 40 pounds of food was donated to the food bank in the first week, the second week, which had twice the amount of food donated as the first week, had 2*40 = 80 pounds of food. The total amount of food donated to the food bank after the second week is 40+80 = <<40+80=120>>120 pounds. In the third week, she gave to the homeless 70/100*120 = <<70/100*120=84>>84 pounds of food. The total amount of food remaining in the food bank after she gave out 70% to the homeless is 120-84 = <<120-84=36>>36 pounds of food. #### 36 You walk twice as fast as Mr. Harris, and Mr. Harris took 2 hours to walk to the store. If your destination is 3 times further away than the store Mr. Harris walked to, how many hours will it take you to get there? First we find out how long it would take Mr. Harris to walk to your destination, which we find by multiplying his 2 hour walk by 3 since your destination is 3 times further away, meaning it would take him 2*3= <<2*3=6>>6 hours. Since you walk twice as fast, it would take you half the time. Half of 6, 6/2=<<6/2=3>>3 hours in total. #### 3 In a school with 800 students, 5/8 of the students are girls. Seven-tenths of the girls and two-fifths of the boys are in the primary grades, while the rest are middle schoolers. How many middle schoolers are there? There are 800 x 5/8 = <<800*5/8=500>>500 girls. So, there are 800 - 500 = <<800-500=300>>300 boys. There are 500 x 7/10 = <<500*7/10=350>>350 girls that are in the primary grades. Hence, 500 - 350 = <<500-350=150>>150 girls are middle schoolers. There are 300 x 2/5 = <<300*2/5=120>>120 boys that are in the primary grades. Hence, 300 - 120 = <<300-120=180>>180 boy students are middle schoolers. Therefore, a total of 150 girls + 180 boys = <<150+180=330>>330 middle schoolers. #### 330 In India, it cost $1 to purify a gallon of fresh water. Each person needs 1/2 a gallon of fresh water a day. In a family of 6, how much will it cost for fresh water for the day? The family needs 3 gallons of water because 6 x .5 = <<6*.5=3>>3 It will cost $3 because 3 x 1 = <<3*1=3>>3 #### 3 A café has a few orders to cook and also needs to makes sandwiches for a group of customers that arrived. 3 local offices have each ordered 10 bacon sandwiches and half of the group that has arrived have asked for 4 bacon sandwiches each. If the café makes a total of 54 bacon sandwiches, how many customers are in the group of customers that arrived? The offices ordered a total of 3 offices * 10 sandwiches each = <<3*10=30>>30 sandwiches. So the group of customers must have ordered 54 total sandwiches – 30 sandwiches for the offices = <<54-30=24>>24 sandwiches. This is a total of 24 sandwiches / 4 sandwiches per customer = <<24/4=6>>6 customers who ordered a sandwich. As only half the group ordered a bacon sandwich, the entire group must have consisted of 6 customers * 2 = <<6*2=12>>12 customers. #### 12 A school bus has 4 columns and 10 rows of seats. If the school has 6 buses, how many students can the buses accommodate? Each bus can accommodate 10 x 4 = <<10*4=40>>40 students. Therefore, 40 x 6 = <<40*6=240>>240 students can be accommodated by the six busses. #### 240