The total average age of three friends is 40. Jared is ten years older than Hakimi, and Molly's age is 30. How old is Hakimi?

The total age for the three friends is 40*3 =

<<40*3=120>>120 If Molly's age is 30, then Jared and Hakimi have a total age of 120-30 = 90. Let's say the age of Hakimi is x. Since Jared is 10 years older than Hakimi, Jared is x+10 years old. Jared and Hakimi's total age is x+(x+10) = 90 This translates to 2x=90-10 2x=80 Hakimi's age is x=80/2 This gives us x=<<40=40>>40, which is Hamkimi's age. #### 40 Martin rings the small bell 4 times more than 1/3 as often as the big bell. If he rings both of them a combined total of 52 times, how many times does he ring the big bell? Let s be the number of times the small bell rings, and b be the number of times the big bell rings. We know that s + b = 52 and s = 4 + 1/3b. Substituting the second equation into the first equation, we get 4 + 1/3b + b = 52 Subtracting 4 from both sides, we get 1/3b + b = 48 Combining like terms, we get 4/3b = 48 Dividing both sides of the equation by 4/3, we get b = 36 #### 36 Sabrina is collecting herbs to make a poultice for her grandmother. She needs twice as many basil leaves as sage leaves and 5 fewer sage leaves than verbena leaves. If she needs 12 basil leaves, how many leaves total does she need? First find the number of sage leaves Sabrina needs: 12 basil / 2 basil/sage = <<12/2=6>>6 sage Then add 5 to find the total number of verbena leaves she needs: 6 sage + 5 = <<6+5=11>>11 verbena Finally, add up all the different leaves to find the total number: 6 sage + 11 verbena + 12 basil = <<6+11+12=29>>29 leaves #### 29 Ruel has four books of 10 stamps and six books of 15 stamps. How many stamps does Ruel have? Ruel has a total of 4 x 10 = <<4*10=40>>40 stamps from the four books. He also has 6 x 15 = <<6*15=90>>90 stamps from the six books. Therefore, he has a total of 40 + 90 = <<40+90=130>>130 stamps. #### 130 Madeline has 10 flowers. If 4 flowers are red, 2 flowers are white, and the rest are blue, what percentage of flowers are blue? There are 4+2 = <<4+2=6>>6 flowers that are not blue. Thus, there are 10-6 = <<10-6=4>>4 blue flowers. Thus, blue flowers make up (4/10)*100=<<4/10*100=40>>40%. #### 40 For the school play, 40 rows of chairs were set up where there were 20 chairs in each row. If only 10 seats were not occupied, how many seats were taken? The school prepared 40 x 20 = <<40*20=800>>800 chairs. So, 800 - 10 = <<800-10=790>>790 chairs were taken. #### 790 Apple can run at a rate of 3 miles per hour. Mac can run at a rate of 4 miles per hour. In minutes, how much faster will Mac run a 24 mile race? First find how fast each runs. Apple = 24 miles / 3 miles per hour = <<24/3=8>>8 hours Mac = 24 miles / 4 miles per hour = <<24/4=6>>6 hours. Mac runs 8 hours - 6 hours = <<8-6=2>>2 hours faster. 1 hour = 60 minutes, so, Mac runs faster by 2 hours * 60 minutes = <<2*60=120>>120 minutes. #### 120 A shoe company sells $4000 worth of shoes every month. If they want to make $60000 in an entire year how many more dollars per month should they make selling shoes? The amount of money they currently make in a year is 12 * 4000 = $<<12*4000=48000>>48000. The additional amount they need to make is $60000 - $48000= $<<60000-48000=12000>>12000 per year. So, they should make $12000 / 12 = $<<12000/12=1000>>1000 more every month. #### 1000 Oxford High School has 48 teachers, 1 principal and 15 classes with each having 20 students. How many people are there in total in Oxford High School? There are 48 teachers. There is 1 principal. There are 15 classes × 20 students/class = 300 students. The total number of people in Oxford High School are 300 people + 48 people + 1 people = <<300+48+1=349>>349 people. #### 349 Hermione, Luna, and Celestia combined have 83 spelling badges. If Hermione has 14 and Luna has 17, how many spelling badges does Celestia have? Combining Hermione and Luna has 14 + 17 = <<14+17=31>>31 spelling badges. Removing their spelling badges from the total, Celestia has 83 - 31 = <<83-31=52>>52 spelling badges. #### 52