Matthew asked his children how many hotdogs they wanted for dinner. Both Ella and Emma agreed they wanted 2 hotdogs each. Luke said he could eat twice the amount of hotdogs as his sisters while Hunter said he could only eat 1 and half times the total amount of his sisters. How many hotdogs did Matthew need to cook?
Ella wanted 2 while Emma wanted 2 so 2+2 =
<<2+2=4>>4 hotdogs Luke could eat twice as his sisters so 2*2 = <<2*2=4>>4 hotdogs Hunter could eat 1 1/2 times the amount of his sisters so 1.5*4 = <<1.5*4=6>>6 hotdogs All total, Matthew needs to cook, 4+4+6 = 18 hot dogs #### 14 Jill likes to watch shows on her favorite streaming service. She watched a show that was 30 minutes long, and then watched another show that was 4 times longer. How many total minutes did she spend watching shows? Jill watched one show that was 4 times longer than 30 minutes, so it was 4*30=<<4*30=120>>120 minutes long. Jill also watched another show that was 30 minutes long, so the total time Jill spent was 120+30=<<120+30=150>>150 minutes #### 150 A third of all the cats in the village have spots. A quarter of the spotted cats in the village are fluffy. If there are 120 cats in the village, how many of the cats are spotted and fluffy? If a third of the cats have spots and a quarter of those are fluffy (1 / 3) x (1 / 4) = 1/ 12 cats are both fluffy and spotted. Out of 120 cats, 120 cats / 12 = <<120/12=10>>10 cats are spotted and fluffy. #### 10 John has 20% more boxes than Jules. Jules has 5 more boxes than Joseph. Joseph has 80% fewer boxes than Stan. If Stan has 100 boxes, how many boxes does John have? Joseph has 100 * 0.80 = <<100*0.80=80>>80 less boxes than Stan. Joseph has a total of 100 - 80 = <<100-80=20>>20 boxes. Jules has 20 + 5 = <<20+5=25>>25 boxes. John has 25 * 0.20 = <<25*0.20=5>>5 more boxes than Jules. John has a total of 25 + 5 = <<25+5=30>>30 boxes #### 30 A teacher is making packed lunches for a field trip. Each student needs 2 sandwiches, and will travel in a group with 5 other students. There are a total of 5 groups. How many pieces of bread will the teacher need to make enough sandwiches for all the students? If each student travels with 5 others, then groups are made up of 5 + 1 = <<5+1=6>>6 students. This means there are a total of 5 groups * 6 students = <<5*6=30>>30 students in the class. Each student needs 2 sandwiches, which means the teacher will make 30 students * 2 sandwiches per student= <<30*2=60>>60 sandwiches in total. Therefore, the teachers will need 60 sandwiches * 2 pieces of bread per sandwich= <<60*2=120>>120 pieces of bread. #### 120 Hunter saw 5 frogs sitting on top lily pads in the pond. Three more frogs climbed out of the water onto logs floating in the pond. Then two dozen baby frogs hopped onto a big rock jutting out from the pond. How many frogs did Hunter see in the pond? Hunter saw 5 + 3 = <<5+3=8>>8 adult frogs in the pond. He saw 2 x 12 = <<2*12=24>>24 baby frogs in the pond. Altogether, he saw 8 + 24 = <<8+24=32>>32 frogs in the pond. #### 32 Miriam has five times as many albums as Katrina. Katrina has six times the number of albums as Bridget. Bridget has 15 fewer albums than Adele. How many albums do they have together if Adele has 30 albums? Since Adele has 30 albums, and Bridget has 15 fewer, Bridget has 30-15= <<30-15=15>>15 albums. Together, Bridget and Adele has 30+15 = <<30+15=45>>45 albums. Katrina has six times the number of albums as Bridget, a total of 15*6= <<6*15=90>>90 albums. Adele, Bridget, and Katrina have a total of 90+45 = <<90+45=135>>135 albums together. Miriam has five times the number of albums as Katrina, a total of 5*90 = <<5*90=450>>450 albums. Together, Adele, Bridget, Katrina, and Miriam have 135+450 = <<135+450=585>>585 albums. #### 585 Jenna sets a goal of reading 600 pages a month for the month of September (which has 30 days). She knows that she'll be really busy at work the four weekdays starting on the 13th, so she won't have time to read. She can also read 100 pages on the 23rd, when she'll have a long boring flight. If she reads the same number of pages every other day, how many pages a day does she need to read? First, subtract the number of days Jenna can't read from the number of days in September: 30 days - 4 days = <<30-4=26>>26 days. Then subtract the one day when Jenna will read 100 pages: 26 days - 1 day = <<26-1=25>>25 days. Now subtract the 100 pages Jenna will read on her flight from her overall goal: 600 pages - 100 pages = <<600-100=500>>500 pages. Finally, divide that number of pages by the number of days Jenna will read the standard amount: 500 pages / 25 days = <<500/25=20>>20 pages per day. #### 20 Kate's hair is half as long as Emily's hair. Emily’s hair is 6 inches longer than Logan's hair. If Logan hair is 20 inches, how many inches is Kate’s hair? Emily’s hair is 20-6 = <<20-6=14>>14 inches long. Kate's hair 14/2= <<14/2=7>>7 inches long. #### 7 Ken caught twice as many fish as Kendra, but Ken released 3 fish back into the lake. Kendra caught 30 fish and did not release any of them back into the lake. How many fish did Ken and Kendra bring home? Ken caught 30*2=<<30*2=60>>60 fish. Ken brought home 60-3=<<60-3=57>>57 fish. Ken and Kendra brought home 57+30=<<57+30=87>>87 fish. #### 87