There are ten more newborn elephants than baby hippos. If an entire herd starts with 20 elephants and 35 hippos, and the female hippos, whose number is 5/7 of the total number of hippos, give birth to 5 new baby hippos each, find the number of animals that are there altogether?

How many female hippos are there? ** The total number of female hippos is 5/7*35=

<<5/7*35=25>>25 How many baby hippos are there? ** If each new hippo gives birth to 5 new baby hippos, the total number of baby hippos will be 5*25=<<5*25=125>>125 How many hippos are there altogether? ** The population of hippos after 125 new ones are born is 125+35=<<125+35=160>>160 How many new baby elephants are there? ** There are ten more newborn elephants than baby hippos, meaning there are 125+10=135 new baby elephants. How many elephants are there altogether? ** The population of elephants is 135+20=<<135+20=155>>155 How many animals are there altogether? ** Altogether, there are 155+160=<<155+160=315>>315 animals #### 315 Missy watches 5 28-minute reality shows and one 10-minute cartoon. How long does she spend watching TV? How many minutes are in the reality shows? ** First find the total time Missy spends watching reality shows: 5 shows * 28 minutes/show = <<5*28=140>>140 minutes How many minutes does Missy spend watching TV? ** Then add that amount to the time she spends watching the cartoon: 140 minutes + 10 minutes = <<140+10=150>>150 minutes #### 150 Ocho has 8 friends and half are girls. His friends who are boys like to play theater with him. How many boys play theater with him? How many boys are in his friends? ** Half his friends are boys because 1 - 1/2 = 1/2 How many boys play theater with him? ** He plays with four boys because 8 x 1/2= <<8*1/2=4>>4 #### 4 Rhea buys 2 trays of eggs every week for her family. Her son and daughter eat 2 eggs every morning, and Rhea and her husband eat 4 eggs every night. If each tray has 24 eggs, how many eggs are not being eaten every week? How many eggs does Rhea buy every week? ** Rhea buys a total of 24 x 2 = <<24*2=48>>48 eggs every week. How many eggs does Rhea's son and daughter eat every week? ** Her son and daughter eat 2 x 7 = <<2*7=14>>14 eggs every week. How many eggs does Rhea and her husband eat every week? ** Rhea and her husband eat 4 x 7= <<4*7=28>>28 eggs every week. How many eggs do Rhea and her family eat every week? ** So, the total eggs they eat is 28 + 14 = <<28+14=42>>42. How many eggs are not being eaten every week? ** Therefore, the total number of eggs that are not being eaten is 48 - 42 = <<48-42=6>>6. #### 6 Charley bought 30 pencils. She lost 6 pencils while moving to school, and of course, also lost 1/3 of the remaining pencils because she wasn't very good at keeping track of pencils. How many pencils does she currently have? How many pencils did Charley have after moving? ** If Charley bought 30 pencils and lost 6 while moving, she remained with 30-6=<<30-6=24>>24 pencils. How many pencils did Charley lose after not being good at keeping track of her pencils? ** Because she isn't good at keeping track of her pencils, Charley lost 1/3*24 = <<1/3*24=8>>8 more pencils. How many pencils does Charley currently have? ** She currently has 24-8 = <<24-8=16>>16 pencils. #### 16 Aunt Angela has 70 jellybeans in a jar. She wants to divide them equally and give them to her 3 nephews and 2 nieces. How many jellybeans did each nephew or niece receive? How many nephews and nieces does Aunt Angela have? ** Aunt Angela has a total of 3 + 2 = <<3+2=5>>5 nephews and nieces. How many jellybeans did each nephew or niece receive? ** She gave each nephew or niece 70 / 5 = <<70/5=14>>14 jellybeans. #### 14 Felicia is baking a cake. She needs 2 cups of flour, a cup of white sugar, a 1/4 cup of brown sugar, and a 1/2 cup of oil. Her only measuring scoop is 1/4 cup. How many times does she fill it to complete the measurements? How many times does Felicia fill the 1/4 cup? ** She fills it 8 times for the flour because 2 / (1/4) =<<2/(1/4)=8>>8 How many times does Felicia fill the 1/4 cup? ** She fills it 4 times for the white sugar because 1 / (1/4) = <<1/(1/4)=4>>4 How many times does Felicia fill the 1/4 cup? ** She fills is 2 times for the oil because (1/2) / (1/4) = <<(1/2)/(1/4)=2>>2 How many times does Felicia fill the 1/4 cup? ** She fills it 1 time for the brown sugar because she needs exactly 1/4 of a cup How many times does Felia fill the 1/4 cup? ** She fills is 15 times because 8 + 4 + 2 + 1 equals <<8+4+2+1=15>>15 #### 15 The spacecraft Gibraltar is a mountain-sized intergalactic vehicle for transporting equipment, building materials, and families to establish colonies on far-away planets. At full capacity, the vehicle can carry 300 family units with four people per family. The space flight is expected to take years, and it is expected that the size of families will grow during the space voyage. Therefore, when the spacecraft leaves the earth, it will carry 100 people less than one-third of the ship's capacity. How many people will be on the ship to start the journey? How many people can the ship carry? ** The full capacity of the ship is 300 * 4 = <<300*4=1200>>1200 people. How many people can the ship carry? ** One-third of capacity is 1200/3 = <<1200/3=400>>400 people. How many people will be on the ship to start the journey? ** 100 less than one-third capacity is 400 - 100 = 300 people. #### 300 Tilly needs to sell 100 bags at $10 per bag to make $300 in profit. How much did she buy each bag for? How much money will Tilly make? ** Tilly will make 100 x $10 = $<<100*10=1000>>1000 in total How much did Tilly spend? ** She has spent $1000 - $300 = $<<1000-300=700>>700 on 100 bags How much did each bag cost? ** Each bag cost Tilly $700 / 100 = $<<700/100=7>>7 #### 7 Billy can spit a watermelon seed 30 inches. Madison can spit a watermelon seed 20% farther than Billy. Ryan can spit a watermelon seed 50% shorter than Madison. How far can Ryan spit a watermelon seed? How far can Madison spit a seed? ** Madison can spit a seed 20% farther than Billy's 30 inches so that's .20*30 = <<20*.01*30=6>>6 inches farther How far can Billy spit a seed? ** Billy spits a seed 30 inches and Madison can spit 6 inches farther for a total of 30+6 = <<30+6=36>>36 inches How far can Ryan spit a seed? ** Ryan can spit a seed 50% shorter than Madison's 36 inches for a total of .50*36 = <<50*.01*36=18>>18 inches #### 18