A box holds 2 dozen doughnuts. If the family ate 8 doughnuts, how many doughnuts are left?

How many doughnuts are in a box? ** Two dozens of doughnuts are equal to 2 x 12 =

<<2*12=24>>24 doughnuts. How many doughnuts are left? ** Since 8 doughnuts were eaten, therefore 24 - 8 = <<24-8=16>>16 doughnuts are left. #### 16 Zander collected 100 stickers. He gave some of his stickers to his two friends, Andrew and Bill. Andrew received 1/5 of Zander's stickers, while Bill received 3/10 of the remaining stickers. How many stickers did Andrew give to his two friends? How many stickers did Andrew receive? ** Andrew received 100 x 1/5 = <<100*1/5=20>>20 stickers. How many stickers were left? ** So, there were 100 - 20 = <<100-20=80>>80 stickers left. How many stickers did Bill receive? ** Bill received 80 x 3/10 = <<80*3/10=24>>24 stickers. How many stickers did Andrew give away? ** Therefore, Andrew gave away 20 + 24 = <<20+24=44>>44 stickers. #### 44 The area of a triangle with a given base and height is given by 1/2*base*height. What is the base length of a triangle with height 8 and area 24 square units? Define a variable ** Let b be the base of the triangle Write an equation ** (1/2)*b*8=24. Simplify ** 4*b=24 Simplify ** b=<<6=6>>6 #### 6 Mr. Salazar had seven dozen oranges. He reserved 1/4 of it for his friend and was able to sell 3/7 of the remaining yesterday. Today, he saw four rotten oranges. How many oranges are left to be sold today? How many oranges did Mr. Salazar have? ** Mr. Salazar had 7 x 12 = <<7*12=84>>84 oranges. How many oranges did Mr. Salazar reserve for his friend? ** He reserved 84 x 1/4 = <<84*1/4=21>>21 oranges for his friend. How many oranges did Mr. Salazar have to sell yesterday? ** Ha had 84 - 21 = <<84-21=63>>63 oranges to be sold yesterday. How many oranges were sold yesterday? ** But only 63 x 3/7 = <<63*3/7=27>>27 oranges were sold yesterday. How many oranges were left? ** So, he had 63 - 27 = <<63-27=36>>36 oranges left. How many oranges are left to be sold today? ** Since four oranges are rotten, then only 36 - 4 = <<36-4=32>>32 oranges are left to be sold today. #### 32 The price of a monster box of cereal is reduced by $24 after an oversupply in the market. If the initial price was $104, and Romina bought 20 of such boxes, calculate the total price she paid. How much did the price of the monster box of cereal reduce by? ** If the initial price was $104, and the price of the monster box of cereal reduced by $24, the new price is $104-$24 = $<<104-24=80>>80 How much did Romina pay? ** If Romina bought 20 such boxes, he paid 20*$80 = $<<20*80=1600>>1600 #### 1600 The students at Evelyn's school are keeping journals. They have 3 journal-writing sessions per week. Each student writes 4 pages in each session. How many journal pages will each student write in 6 weeks? How many pages does a student write in a week? ** In a week, a student writes 3*4=<<3*4=12>>12 pages. How many pages will each student write in 6 weeks? ** So in 6 weeks, each student will write 12*6=<<12*6=72>>72 pages. #### 72 Nicky is trading baseball cards with Jill. If Nicky trades two cards worth $8 each for 1 card worth $21, how many dollars of profit does he make? How much did Nicky spend on the two cards? ** First find the total cost of the two $8 cards: $8/card * 2 cards = $<<8*2=16>>16 How much did Nicky make? ** Then subtract the cost of the cards Nicky gave away from the cost of the card he received to find his profit: $21 - $16 = $<<21-16=5>>5 #### 5 At a pool party, there are 4 pizzas cut into 12 slices each. If the guests eat 39 slices, how many slices are left? How many slices are there? ** There’s a total of 4 x 12 = <<4*12=48>>48 slices. How many pieces are left? ** After the guests eat, there are 48 - 39 = <<48-39=9>>9 pieces. #### 9 Paul goes fishing every Saturday. Last week he was able to catch 5 fish for every 2 hours he was fishing. How many fish did he catch when he was fishing for 12 hours? How many fish did Paul catch in total? ** Paul caught 5 fish 12 / 2 = 6 times that day. How many fish did Paul catch in total? ** So he was able to catch in total 6 * 5 = <<6*5=30>>30 fish. #### 30 If Jim has 20 apples, and Jane has 60 apples, and Jerry has 40 apples, how many times can Jim's number of apples fit into the average amount of apples for a person in the group? How many apples does Jim have? ** First, we need to find the average number of apples per person. We start by adding the three totals together, getting 20+60+40=<<20+60+40=120>>120 apples How many apples does each person have? ** To finish finding the average number, we perform 120/3= <<120/3=40>>40 apples per person. How many times can Jim's number of apples fit into the average amount of apples for a person in the group? ** Since Jim has 20 apples, we divide the average of 40 by Jim's total to find 40/20=<<40/20=2>>2 times that Jim's amount can fit into the average. #### 2