Derek finally gets his own allowance. He puts $2 away in January, $4 away in February, $8 away in March, $16 away in April and follows this savings pattern through to December. How much money does he have to spare and save by December?

Derek doubles his allowance savings each month, so in May, Derek has $16 * 2 = $

<<16*2=32>>32. In June, Derek has $32 * 2 = $<<32*2=64>>64. In July, Derek has $64 * 2 = $<<64*2=128>>128. In August, Derek has $128 * 2 = $<<128*2=256>>256. In September, Derek has $256 * 2 = $<<256*2=512>>512. In October, Derek has $512 * 2 = $<<512*2=1024>>1024. In November, Derek has $1024 * 2 = $<<1024*2=2048>>2048. By December, Derek has $2048 * 2 = $<<2048*2=4096>>4096 to save. #### 4096 Mandy researched 42 med schools. She applied to 1/3 of the schools she researched and got into half of the schools where she applied. How many schools was Mandy accepted to? First find the number of schools Mandy applied to: 42 med schools / 3 = <<42/3=14>>14 med schools Then divide that number by 2 to find the number of schools where she was accepted: 14 med schools / 2 = <<14/2=7>>7 med schools #### 7 During April, the baker sold 453 cakes at $12 and 126 pies at $7. How much did the baker earn? The baker sold cakes for 453 * 12 = $<<453*12=5436>>5436. And pies for 126 * 7 = $<<126*7=882>>882. In total the baker earned 5436 + 882 = $<<5436+882=6318>>6318. #### 6318 Annie does a survey of the sixth-grade classes to see who prefers pretzels to goldfish. In Miss Johnson's class, 1/6 of the students preferred goldfish. In Mr. Feldstein's class, 2/3rds of the students preferred goldfish. In Ms. Henderson's class, 1/5 of the students prefer goldfish. If each class has 30 students, how many people total prefer goldfish? First find the number of students in Mr. Feldstein's class who prefer goldfish: 2/3 * 30 students = <<2/3*30=20>>20 students Then find the number of students in Mr. Feldstein's class who prefer goldfish: 1/6 * 30 students = <<1/6*30=5>>5 students Then find the number of students in Ms. Henderson's class who prefer goldfish: 1/5 * 30 students = <<1/5*30=6>>6 students Then add the number of students from each class who prefer goldfish to find the total: 20 students + 5 students + 6 students = <<20+5+6=31>>31 students #### 31 The number of math problems that Marvin practiced today is three times as many as the number of problems he solved yesterday. His friend, Arvin, has practiced twice as many math problems on each day. How many math problems have they practiced altogether if Marvin solved 40 math problems yesterday? If Marvin solved 40 math problems yesterday, he has solved 40*3 = <<40*3=120>>120 math problems today. The total number of math problems that Marvin has practiced is 120+40 = <<120+40=160>>160 Arvin has practiced twice as many as Marvin, so has practiced 160 * 2 = <<160*2=320>>320 problems. Together, Marvin and Arvin have solved 320+160 = <<320+160=480>>480 math problems. #### 480 Surfers enjoy going to the Rip Curl Myrtle Beach Surf Festival. There were 1500 surfers at the Festival on the first day, 600 more surfers on the second day than the first day, and 2/5 as many surfers on the third day as the first day. What is the average number of surfers at the Festival for the three days? If there were 1500 surfers on the first day, the total for the second day is 1500 surfers + 600 surfers = <<1500+600=2100>>2100 surfers On the third day, the number of surfers was 2/5 * 1500 surfers = <<2/5*1500=600>>600 surfers The total number of surfers at the Festival in the three days was 1500 surfers + 2100 surfers + 600 surfers = <<1500+2100+600=4200>>4200 surfers The average number of surfers at the Beach Surf Festival for the three days is 4200 surfers / 3 days = <<4200/3=1400>>1400 surfers/day #### 1400 During his summer break, Luke catches 2 fish every day for 30 days. If each fish gives him 2 fillets, then how many fish fillets does he have? He catches 2 fish every day for 30 days so he catches 2*30 = <<2*30=60>>60 fish Each fish yields 2 fillets so he has 2*60 = <<2*60=120>>120 fish fillets #### 120 Ali is a baker. Leila ordered 3 chocolate cakes for $12 each and 6 strawberry cakes for $22 each. How much should Leila pay Ali? For the chocolate cakes: Leila should pay: 12 * 3 = $<<12*3=36>>36 For the strawberry cakes: Leila should pay: 22 * 6 = $<<22*6=132>>132 Combining the chocolate cakes and strawberry cakes, Leila should pay: 36 +132 = $<<36+132=168>>168 #### 168 Lionel walked 4 miles. Esther walked 975 yards and Niklaus walked 1287 feet. How many combined feet did the friends walk? Lionel = 4 * 5280 = <<4*5280=21120>>21120 feet Esther = 975 * 3 = <<975*3=2925>>2925 feet Together = 21120 + 2925 + 1287 = <<21120+2925+1287=25332>>25332 feet Together the friends walked 25332 feet. #### 25332 Jacob is making s'mores. Each s'more takes two graham crackers and one marshmallow. If Jacob has 48 graham crackers and 6 marshmallows, how many more marshmallows does he need to buy? First find the number of marshmallows Jacob needs: 48 graham crackers / 2 graham crackers/marshmallow = <<48/2=24>>24 marshmallows Then subtract the number of marshmallows Jacob already has from the number he needs to find the number he needs to buy: 24 marshmallows - 6 marshmallows = <<24-6=18>>18 marshmallows #### 18