There are 30 pieces of popcorn in a serving. Jared can eat 90 pieces of popcorn and his three other friends can each eat 60 pieces of popcorn. How many servings of popcorn should Jared order for all of them?

Jared's friends can eat a total of 60 x 3 =

<<60*3=180>>180 pieces of popcorn. Jared and his three friends can eat a total of 180 + 90 = <<180+90=270>>270 pieces of popcorn. Therefore, Jared should order 270/30 = <<270/30=9>>9 servings of popcorn. #### 9 Matt can buy key chains in packs of 10 for $20 or in packs of 4 for $12. How much money can he save if he chooses to buy 20 key chains at a lower price? The cost of each key chain in packs of 10 for $20 is $20/10=$<<20/10=2>>2. The cost of each key chain in packs of 4 for $12 is $12/4=$<<12/4=3>>3. There is a price difference of $3-$2=$<<3-2=1>>1 per key chain between the two choices. By buying 20 key chains at a lower price, Matt can save 20x$1=$<<20*1=20>>20. #### 20 Bill needs to soak his clothes for 4 minutes to get rid of each grass stain and 7 additional minutes to get rid of each marinara stain. If his clothes have 3 grass stains and 1 marinara stain, how long does he need to soak them? First find the total soaking time to get rid of the grass stains: 4 minutes/stain * 3 stains = <<4*3=12>>12 minutes Then add the soak time for the marinara to find the total soak time: 12 minutes + 7 minutes = <<12+7=19>>19 minutes #### 19 Nathaniel has 11 tickets to a basketball game. He gives away 2 tickets each to his best friends, until he only has 3 tickets left. How many best friends does Nathaniel have? Nathaniel gave away 11-3 = <<11-3=8>>8 tickets to his best friends. Nathaniel has 8/2 = <<8/2=4>>4 best friends. #### 4 In a court-mandated traffic class, there are a certain number of drunk drivers and 3 less than 7 times that many speeders. If there are 45 students total, how many drunk drivers are there? Let d be the number of drunk drivers and s be the number of speeders. We know that d + s = 45 and s = 7d - 3. Substituting the second equation into the first equation, we get d + 7d - 3 = 45 Combining like terms, we get 8d - 3 = 45 Adding 4 to both sides, we get 8d = 48 Dividing both sides by 8, we get d = 6 #### 6 A cup of dog food weighs 1/4 of a pound. If Mike has 2 dogs that each eat 6 cups of dog food twice a day how many 20 pound bags of dog food does he need to buy a month? Each dog eats 6*2=<<6*2=12>>12 cups of food a day His two dogs eat 12*2=<<12*2=24>>24 cups a day Thus they eat 24/4=<<24/4=6>>6 pounds a day So they eat 6*30=<<6*30=180>>180 pounds a month So he needs to buy 180/20=<<180/20=9>>9 bags of food #### 9 Venus is at the deli to get subs for a party. She needs 81 inches of sub. The shop sells 5 and 8 inch subs. If she buys two 8 inch subs, how many 5 inch subs does she need to buy? The two 8 inch subs total 16 inches because 2 x 8 = <<2*8=16>>16 She still needs 65 inches of sub because 81-16 = <<81-16=65>>65 She needs to buy 13 five inch subs because 65 / 5 = <<65/5=13>>13 #### 13 A group of parents get together and decide to hire a private school teacher to quit his job and teach their children. His former job paid 45,000 per year and they offered him a 20% raise. If there are 9 kids how much does each parent have to pay? His raise was 45,000*.2=$<<45000*.2=9000>>9,000 So his new wage is 45,000+9,000=$<<45000+9000=54000>>54,000 So they each have to pay him 54,000/9=$<<54000/9=6000>>6,000 per year #### 6000 Caitlin makes bracelets to sell at the farmer’s market every weekend. Each bracelet takes twice as many small beads as it does large beads. If each bracelet uses 12 large beads, and Caitlin has 528 beads with equal amounts of large and small beads, how many bracelets can she make for this weekend? Caitlin has 528/2 = <<528/2=264>>264 small beads. Each bracelet needs 12 * 2 = <<12*2=24>>24 small beads. Thus, Caitlin can make 264/24 = <<264/24=11>>11 bracelets for the farmer’s market this weekend. #### 11 The average GPA for 6th graders is 93, the 7th graders is 2 more than the 6th graders and the 8th graders average GPA is 91. What is the average GPA for the school? The 7th graders average GPA is 2 more than the 6th graders GPA of 93 so 93+2 = 95 If you combine the GPA for all three grades then they have 93+95+91 = <<93+95+91=279>>279 The average GPA for the school is 279/3 = <<279/3=93>>93 #### 93