In five years, Grant will be 2/3 the age of the hospital that he is hired into. If Grant is currently 25 years old, how old is the hospital now?

How old will Grant be in five years? ** If Grant is currently 25 years old, he will be 25+5 =

<<25+5=30>>30 years old in five years. How old is the hospital now? ** If 2/3 represents Grant's age in five years, then the fraction representing the number of years the hospital is older than Grant is 1-2/3 = 1/3 How old is the hospital now? ** If 2/3 represents 30 years, 3/3, which is the fraction representing the age of the hospital, represents 3/3*30*3/2 = 45 years. How old is the hospital now? ** Currently, the hospital is 45-5 = <<45-5=40>>40 years old. #### 40 Adam has 18 magnets. He gave away a third of the magnets, and he still had half as many magnets as Peter. How many magnets does Peter have? How many magnets did Adam give away? ** Adam gave away 18/3 = <<18/3=6>>6 magnets. How many magnets did Adam have left? ** Adam had 18-6 = <<18-6=12>>12 magnets left. How many magnets does Peter have? ** Peter has 12*2 = <<12*2=24>>24 magnets. #### 24 Rob planned on spending three hours reading in preparation for his literature exam. If he ends up spending only three-quarters of this time reading, and he reads a page every fifteen minutes, how many pages did he read in this time? How many minutes are in 3 hours? ** 1 hour is 60 minutes so 3 hours is 3*60 = <<3*60=180>>180 minutes How many minutes are in 3/4 of an hour? ** Three-quarters of 180 minutes is (3/4)*180 = <<(3/4)*180=135>>135 minutes How many pages will he read in this time? ** He spends 15 minutes on 1 page so he will spend 135 minutes on 135/15 = <<135/15=9>>9 pages #### 9 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? How much money does Derek have in May? ** Derek doubles his allowance savings each month, so in May, Derek has $16 * 2 = $<<16*2=32>>32. How much money does Derek have in June? ** In June, Derek has $32 * 2 = $<<32*2=64>>64. How much money does Derek have in July? ** In July, Derek has $64 * 2 = $<<64*2=128>>128. How much money does Derek have in August? ** In August, Derek has $128 * 2 = $<<128*2=256>>256. How much money does Derek have in September? ** In September, Derek has $256 * 2 = $<<256*2=512>>512. How much money does Derek have in October? ** In October, Derek has $512 * 2 = $<<512*2=1024>>1024. How much money does Derek have in November? ** In November, Derek has $1024 * 2 = $<<1024*2=2048>>2048. How much money does Derek have to spare and save by December? ** 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? How many schools did Mandy apply to? ** First find the number of schools Mandy applied to: 42 med schools / 3 = <<42/3=14>>14 med schools How many schools was Mandy accepted to? ** 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? How much did the baker sell cakes for? ** The baker sold cakes for 453 * 12 = $<<453*12=5436>>5436. How much did the baker sell pies for? ** And pies for 126 * 7 = $<<126*7=882>>882. How much did the baker earn? ** 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? How many students are in Mr. Feldstein's class? ** First find the number of students in Mr. Feldstein's class who prefer goldfish: 2/3 * 30 students = <<2/3*30=20>>20 students How many students are in Mr. Feldstein's class? ** Then find the number of students in Mr. Feldstein's class who prefer goldfish: 1/6 * 30 students = <<1/6*30=5>>5 students How many students are in Ms. Henderson's class? ** Then find the number of students in Ms. Henderson's class who prefer goldfish: 1/5 * 30 students = <<1/5*30=6>>6 students How many students total prefer goldfish? ** 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? How many math problems did Marvin solve today? ** If Marvin solved 40 math problems yesterday, he has solved 40*3 = <<40*3=120>>120 math problems today. How many math problems has Marvin practiced altogether? ** The total number of math problems that Marvin has practiced is 120+40 = <<120+40=160>>160 How many math problems has Arvin practiced altogether? ** Arvin has practiced twice as many as Marvin, so has practiced 160 * 2 = <<160*2=320>>320 problems. How many math problems have Marvin and Arvin practiced altogether? ** 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? How many surfers were there on the second day? ** 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 How many surfers were there on the third day? ** On the third day, the number of surfers was 2/5 * 1500 surfers = <<2/5*1500=600>>600 surfers What is the total number of surfers at the Festival for the three days? ** 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 What is the average number of surfers at the Festival for the three days? ** 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? How many fish does Luke catch? ** He catches 2 fish every day for 30 days so he catches 2*30 = <<2*30=60>>60 fish How many fish fillets does Luke have? ** Each fish yields 2 fillets so he has 2*60 = <<2*60=120>>120 fish fillets #### 120