Vicente saw Sophie's mom giving Sophie 20 oranges every day to carry to school to eat. He also saw Hannah's dad giving Hannah 40 grapes every day to eat at the school. If he counted the number of fruits that the girls were given for 30 days, calculate the total number of fruits that Sophie and Hannah had eaten in the 30 days.

If Sophie was given 20 oranges every day for thirty days, she had taken 20*30 =

<<20*30=600>>600 oranges to school. Similarly, in the thirty days, Hannah had taken 40*30 = <<40*30=1200>>1200 grapes to school. In the thirty days, Hannah and Sophie took 1200+600 = <<1200+600=1800>>1800 fruits to school. #### 1800 Carol gets a fixed $20 allowance each week. She can also earn $1.5 more dollars each week if she does extra chores. At the end of 10 weeks, she has 425 dollars. How many extra chores did she average each week? She earned $42.5 on average per week because 425 / 10 = <<425/10=42.5>>42.5 She earned $22.5 each week from extra chores because 42.5 - 20 = <<42.5-20=22.5>>22.5 She did 15 extra chores a week because 22.5 / 1.5 = <<22.5/1.5=15>>15 #### 15 A group of people contains men, women, and children. The number of men is twice the number of women, and the number of women is 3 times the number of children. If the number of children is 30, how many people does this group contain? The number of women in the group is 3 women/child * 30 children = <<3*30=90>>90 women. The number of men in the group is 2 men/woman * 90 women = <<2*90=180>>180 men. The total number of people in the group is 180 men + 90 women + 30 children = <<180+90+30=300>>300 people. #### 300 There are 55 people at the track meet. 30 of them are boys, and the rest are girls. Three fifths of the girls have long hair, and the rest have short hair. How many girls have short hair? There are 55-30 = <<55-30=25>>25 girls at the track meet. There are (25/5)*3 = <<25/5*3=15>>15 girls with long hair. There are 25-15 = <<25-15=10>>10 girls with short hair. #### 10 Alex is on a cross-country bike trip. After starting this morning, he manages an average speed over flat ground of about 20 miles per hour. Four and a half hours later, the road started to incline upwards enough that he could only manage 12 miles per hour. Two and a half hours later, though, the road declined downhill and was able to mostly coast at 24 miles per hour. Unfortunately, he only got to enjoy this for one and a half hours before he punctured a tire. He had forgotten to pack a repair kit, so he had to walk his bike the rest of the way to the next town. If the next town was 164 miles from where he started this morning, how far did Alex have to walk? Alex traveled at 20 miles per hour for 4.5 hours, so 20 * 4.5 = <<20*4.5=90>>90 miles on flat ground. He traveled 12 miles per hour uphill for 2.5 hours, so 12 * 2.5 = <<12*2.5=30>>30 miles uphill. He traveled downhill 24 miles per hour for 1.5 hours = 24 * 1.5 = <<24*1.5=36>>36 miles downhill. Before his tire punctured, he traveled 90 + 30 + 36 = <<90+30+36=156>>156 miles. So as the next town is 164 miles from where he began, Alex had to walk for 164 - 156 = <<164-156=8>>8 miles. #### 8 John is twice as old as Mary and half as old as Tonya. If Tanya is 60, what is their average age? John is 30 because 60 / 2 = <<60/2=30>>30 Mary is fifteen because 30 / 2 = <<30/2=15>>15 Their total age is 105 because 60 + 30 + 15 = <<60+30+15=105>>105 Their average age is 35 because 105 / 3 = <<105/3=35>>35 #### 35 Jacob can write twice as fast as Nathan. Nathan wrote 25 letters in one hour. How many letters can the two write in 10 hours together? Since Nathan writes 25 letters in an hour, Jacob writes 25*2 = <<25*2=50>>50 letters in an hour. Together, they write 50+25 = <<50+25=75>>75 letters in an hour, In 10 hours, they'll write a total of 75*10 = <<10*75=750>>750 letters #### 750 In 21 hours, a heating plant consumes 7 liters of fuel. How much does it consume in 90 hours? Let x be the consumption in 90 hours. We have: 21/7 = 90/x because the heating plant always consumes fuel at the same rate Multiplying both sides by 7x, we get 21x = 90 * 7 This can be simplified to 21x = 630 So, the consumption in 90 hours is x = 630 / 21 = <<630/21=30>>30 liters. #### 30 Billy and George are picking dandelions. At first, Billy picks 36 and then George picks 1/3 as many as Billy. When they see the pile, they each decide to pick 10 more each. How many have they picked on average? George picked at first 12 because 36 / 3 = <<36/3=12>>12. George picks 22 by the end because 12 + 10 = <<12+10=22>>22 Billy picks 66 by the end because 36 + 10 = <<36+10=46>>46 In total they picked 68 because 22 + 46 = <<22+46=68>>68 On average they picked 34 because 68 / 2 = <<68/2=34>>34 #### 34 Jonathan's full name contains 8 letters for the first name and 10 letters for the surname. His sister's name has 5 letters for the first name and 10 letters for the second name. What's the total number of letters in their names? Jonathan has 8 +10 = <<8+10=18>>18 letters in his name. His sister has 5+10 = <<5+10=15>>15 letters in her name. The total number of letters in their names is 18+15 = <<18+15=33>>33 #### 33