Jesse and Mia are competing in a week long race. They have one week to run 30 miles. On the first three days Jesse averages (2/3) of a mile. On day four she runs 10 miles. Mia averages 3 miles a day over the first 4 days. What is the average of their average that they have to run over the final three days?

How many miles does Jesse run in the first three days? ** Jesse runs 2 miles in the first three days because 3 x (2/3) =

<<3*(2/3)=2>>2 How many miles does Jesse have left to run? ** Jesse has 18 miles left to run because 30 - 10 - 2 = <<30-10-2=18>>18 How many miles does Jesse have to run? ** Jesse has to run an average of 6 miles a day because 18 / 3 = <<18/3=6>>6 How many miles does Mia run in the first four days? ** Mia runs 12 miles over the first four days because 4 x 3 = <<4*3=12>>12 How many miles does Mia have left to run? ** She has 18 miles left to run because 30 - 12 = <<30-12=18>>18 How many miles does Mia have to run? ** She has to run six miles a day because 18 / 3 = <<18/3=6>>6 How many miles do Mia and Jesse have to run? ** The total they both have to run is <<12=12>>12 miles a day How many miles do Mia and Jesse have to run on average? ** The average they have to run per day on average is 6 miles because 12 / 2 = <<12/2=6>>6 #### 6 The ratio of coins that Elsa has to that which Amalie has is 10:45. If the total number of coins they have is 440, and Amalie spends 3/4 of what she has on toys, how many will she remain with? How many coins do Elsa and Amalie have together? ** The total ratio of the coins they both have is 10+45 = <<10+45=55>>55 How many coins does Amalie have? ** The fraction of the ratio representing the number of coins that Amalie has is 45/55, and since the total number of coins they both have is 440, Amalie has 45/55*440 = <<45/55*440=360>>360 coins. How many coins does Amalie spend? ** When Amalie spends 3/4 of what she has, she parts with 3/4*360 = <<3/4*360=270>>270 coins. How many coins does Amalie remain with? ** She still has 360 coins - 270 coins = <<360-270=90>>90 coins #### 90 Carly collected 7 starfish with 5 arms each and one seastar with 14 arms. How many arms do the animals she collected have in total? How many arms do the starfish have? ** First find the total number of starfish arms: 7 starfish * 5 arms/starfish = <<7*5=35>>35 arms How many arms do the animals she collected have in total? ** Then add the number of seastar arms to find the total number of arms: 35 arms + 14 arms = <<35+14=49>>49 arms #### 49 Tim has 30 less apples than Martha, and Harry has half as many apples as Tim. If Martha has 68 apples, how many apples does Harry have? How many apples does Tim have? ** Tim has 68-30 = <<68-30=38>>38 apples. How many apples does Harry have? ** Harry has 38/2 = <<38/2=19>>19 apples. #### 19 At a flea market, Hillary sells handmade crafts for 12 dollars per craft. Today, Hillary sells 3 crafts and is given an extra 7 dollars from an appreciative customer. Later on, Hillary deposits 18 dollars from today's profits into her bank account. How many dollars is Hillary left with after making the deposit? How much does Hillary sell the crafts for? ** Hillary sells 3 crafts for 12 dollars each, for a total of 3 crafts * $12/craft = $<<3*12=36>>36 How much does Hillary receive from the customer? ** She receives an extra 7 dollars from a customer, increasing the total to $36 + $7 = $<<36+7=43>>43 How much does Hillary deposit into the bank? ** She then deposits 18 dollars in the bank, leaving her with $43 - $18 = $25 #### 25 Nancy is filling an aquarium for her fish. She fills it halfway and goes to answer the door. While she's gone, her cat knocks the aquarium over and spills half the water in it. Then Nancy comes back and triples the amount of water in the aquarium. If the aquarium is 4 feet long, 6 feet wide, and 3 feet high, how many cubic feet of water are in the aquarium? How many cubic feet are in the aquarium? ** First calculate the volume of the aquarium by multiplying its length, width and height: 4 ft * 6 ft * 3 ft = <<4*6*3=72>>72 cubic ft How many cubic feet are full after the cat knocks it over? ** Then figure out what proportion of the aquarium is full after the cat knocks it over: 1/2 * 1/2 = 1/4 How many cubic feet are full after Nancy refills it? ** Then figure out what proportion of the aquarium is full after Nancy refills it: 3 * 1/4 = 3/4 How many cubic feet of water are in the aquarium? ** Now multiply the proportion of the aquarium that's full by the aquarium's volume to find out how much water is in it: 72 cubic ft * 3/4 = <<72*3/4=54>>54 cubic ft #### 54 It is Roger’s turn to provide a snack for the baseball team after the game and he has decided to bring trail mix. The trail mix comes in packs of 6 individual pouches. Roger has 13 members on his baseball team, plus 3 coaches and 2 helpers. How many packs of trail mix does he need to buy? How many pouches of trail mix does Roger need to buy? ** Roger will need 13 + 3 + 2 = <<13+3+2=18>>18 pouches of trail mix. How many packs of trail mix does Roger need to buy? ** If you divide the amount of trail mix pouches by the amount in each pack, 18 / 6 = <<18/6=3>>3 packs of trail mix. #### 3 Four people lost a total of 103 kilograms of weight. The first person lost 27 kilograms. The second person lost 7 kilograms less than the first person. The two remaining people lost the same amount. How many kilograms did each of the last two people lose? How much did the second person lose? ** Second person = 27 - 7 = <<27-7=20>>20 kg How much did the two remaining people lose in total? ** 103 - 27 - 20 = <<103-27-20=56>>56 kg How much did the two remaining people lose each? ** 56/2 = <<56/2=28>>28 kg How many kilograms did each of the last two people lose? ** The last two people each lost 28 kilograms of weight. #### 28 Dale and Andrew had breakfast at a cafe. A slice of toast costs £1, and eggs cost £3 each. Dale had 2 slices of toast and 2 eggs. Andrew had 1 slice of toast and 2 eggs. How much did their breakfast cost? How much did Dale's toast cost? ** The cost of Dale's toast is 2 × $1 = $<<2*1=2>>2. How much did Andrew's toast cost? ** The cost of Andrew's toast is 1 × $1 = $<<1*1=1>>1. How much did Dale's eggs cost? ** The cost of Dale's eggs is 2 × $3 = $<<2*3=6>>6. How much did Andrew's eggs cost? ** The cost of Andrew's eggs is 2 × $3 = $<<2*3=6>>6. How much did their breakfast cost? ** Their breakfast cost $2 + $1 + $6 + $6 = $<<2+1+6+6=15>>15. #### 15 A garden produced 237 potatoes, 60 fewer cucumbers and twice as many peppers than the cucumbers. How many vegetables did the garden produce? How many cucumbers did the garden produce? ** The garden produced 237 potatoes - 60 = <<237-60=177>>177 cucumbers. How many peppers did the garden produce? ** The garden produced 177 cucumbers * 2 peppers/cucumber = <<177*2=354>>354 peppers. How many vegetables did the garden produce? ** The garden produced 237 potatoes + 177 cucumbers + 354 peppers = <<237+177+354=768>>768 vegetables. #### 768