There is a square playground that has a side length of 12 meters. There is a maintenance building on the playground that measures 8 meters by 5 meters. How many square meters of the playground is not covered by the maintenance building?
12 * 12 =
<<12*12=144>>144 square meters 8 * 5 = <<8*5=40>>40 square meters 144 - 40 = <<144-40=104>>104 square meters 104 square meters of the playground are not covered by the maintenance building. #### 104 Ken likes to bike when it's raining and can cycle 30 miles in 20 minutes during this time. However, when it's snowing Ken can't stand the cold and can only cycle 10 miles in 20 minutes. If it rains 3 times and snows 4 times in one week, how many miles did Ken reach if he cycles 1 hour a day? For 1 hour on a rainy day, Ken can cycle 3*30=90 miles. For 1 hour on a snowy day, Ken can cycle 3*10=<<3*10=30>>30 miles. On the rainy days this week, Ken cycled 90*3=<<90*3=270>>270 miles. On the snow days of the week, Ken cycled 30*4=<<30*4=120>>120 miles. In total, Ken cycled 120+270=<<120+270=390>>390 miles this week. #### 390 Jenna wants to buy a concert ticket that costs $181, plus five drink tickets for $7 each. If Jenna earns $18 an hour and works 30 hours a week, what percentage of her monthly salary will she spend on this outing? First find the total cost of the drink tickets: 5 tickets * $7/ticket = $<<5*7=35>>35 Then add that cost to the cost of the ticket to find the total cost: $35 + $181 = $<<35+181=216>>216 Then multiply Jenna's hourly rate by the number of hours she works each week to find her weekly earnings: $18/hour * 30 hours/week = $<<18*30=540>>540/week Then multiply her weekly earnings by the number of weeks she works each month: $540/week * 4 weeks/month = $<<540*4=2160>>2160/month Then divide the cost of the concert by Jenna's monthly earnings and multiply by 100% to express the answer as a percentage: $216 / $2160 * 100% = 10% #### 10 At Hank’s cafe, he sells big stack pancakes which have 5 pancakes and short stack pancakes which have 3 pancakes. If 9 customers order the short stack and 6 customers order the big stack, how many pancakes does Hank need to make? For the short stack orders, Hank needs to make 3 x 9 = <<3*9=27>>27 pancakes. For the big stack orders, he needs to make 5 x 6 = <<5*6=30>>30 pancakes. Altogether, Hank needs to make 27 + 30 = <<27+30=57>>57 pancakes. #### 57 The novelty shop on the Starship Conundrum sells magazines and chocolates. The cost of four chocolate bars is equal to the cost of 8 magazines. If one magazine costs $1, how much does a dozen chocolate bars cost, in dollars? If one magazine costs $1, then 8 magazines cost 8*$1=$<<8*1=8>>8. Let's define "x" as the cost of one chocolate bar. The cost of four chocolate bars is equal to the cost of 8 magazines and 4*x=$8. Dividing each side by 4, we get the cost of one chocolate bar x=$2. Therefore, a dozen chocolate bars would cost 12*$2=$<<12*2=24>>24. #### 24 In the spelling bee, Max has 5 points, Dulce has 3 points, and Val has twice the combined points of Max and Dulce. If they are on the same team and their opponents' team has a total of 40 points, how many points are their team behind? Max and Dulce's total combined points are 5 + 3 = <<5+3=8>>8. So, Val got 8 x 2 = <<8*2=16>>16 points. And the total points of their team is 8 + 16 = <<8+16=24>>24. Therefore, their team is 40 - 24 = <<40-24=16>>16 points behind. #### 16 Cleo and Ignacio placed 30 of their marbles in a jar on a Monday. They took 3/5 of the marbles from the jar the next day and divided them equally. On the third day, Cleo took 1/2 of the marbles remaining in the jars. How many marbles did Cleo have on the third day? On the first day, Cleo and Ignacio took 3/5 * 30 marbles = <<3/5*30=18>>18 marbles from the jar When they shared the marbles, each got 18 marbles / 2 people = <<18/2=9>>9 marbles/person The total number of marbles remaining in the jar is 30 marbles - 18 marbles = <<30-18=12>>12 marbles On the third day, Cleo took 1/2 * 12 marbles = <<1/2*12=6>>6 marbles from the jar. The total number of marbles she has on the third day is 6 marbles + 9 marbles = <<6+9=15>>15 marbles. #### 15 A group of 5 children are taken to an amusement park. Only 3 of them were daring enough to get on the Ferris wheel which cost $5 per child. Everyone had a go at the merry-go-round (at $3 per child). On their way home, they bought 2 cones of ice cream each (each cone cost $8). How much did they spend altogether? 3 children rode the Ferris wheel at $5 reach for a total of 3*$5 = $<<3*5=15>>15 5 children rode the merry-go-round at $3 each for a total of 5*$3 = $<<5*3=15>>15 5 children bought 2 cones of ice cream each at $8 per cone for a total of 5*2*$8 = $<<5*2*8=80>>80 In total, they spent $15+$15+$80 = $<<15+15+80=110>>110 #### 110 Maryann can pick the lock on a cheap pair of handcuffs in 6 minutes and on an expensive pair of handcuffs in 8 minutes. If Maryann needs to rescue three of her friends who have expensive handcuffs on their hands and cheap handcuffs on their ankles, how long will it take for her to free all of them? First find the total time it takes Maryann to rescue one friend: 6 minutes + 8 minutes = <<6+8=14>>14 minutes Then multiply the time to save one friend by the number of friends Maryann needs to save: 14 minutes/friend * 3 friends = <<14*3=42>>42 minutes #### 42 Sam the butcher made sausage by grinding up 10 pounds of spicy meat mix, loading it into a tube casing, and creating a string of 40 sausage links. Then, she hung up the string of sausage links in her cooler. Later that evening, Brandy, Sam’s Golden Retriever, broke into the cooler and ate 12 links of sausage. After Brandy’s feast, how many ounces of sausage meat were contained in the remaining links? There are 16 ounces in one pound, and thus in 10 pounds of meat mix there are 10*16=<<10*16=160>>160 ounces of sausage meat. Thus, the 40 sausage links contained 160 ounces of meat, or 160/40=<<160/40=4>>4 ounces per link. If Brandy ate 12 links, then 40-12=<<40-12=28>>28 links remained. Thus, 28 remaining links, at 4 ounces per link, contained 28*4=<<28*4=112>>112 ounces of meat. #### 112