Cori is 3 years old today. In 5 years, she will be one-third the age of her aunt. How old is her aunt today?

In 5 years, Cori will be 3 + 5 =

<<3+5=8>>8 years old. In 5 years, Cori’s aunt will be 8 x 3 = <<8*3=24>>24 years old. Today, her aunt is 24 - 5 = <<24-5=19>>19 years old. #### 19 Martin is organizing a party, and he invited many of his colleagues. He invited 5 people from his hometown and twice as many people from his school. Martin invited also as many people from his sports club as the sum of people invited from his hometown and his school. The remaining invitations represent 20% of the total previously mentioned. How many people can potentially come to the party Martin is organizing? Martin invited 5 * 2 = <<5*2=10>>10 people from his school. People from the sports club got 5 + 10 = <<5+10=15>>15 invitations. So in total from the sports club, hometown and school, Martin invited 5 + 10 + 15 = <<5+10+15=30>>30 people. All other invitations are 20% of the previous total, which means 20/100 * 30 = <<20/100*30=6>>6. That means Martin invited to his party 30 + 6 = <<30+6=36>>36 people. #### 36 Derek is watching the construction cranes downtown and is trying to figure out how much taller they have to be than the building they are building. He sees one crane that is 228 feet tall finishing a building that was 200 feet tall. He sees another that is 120 feet tall finishing a building that is 100 feet tall. The final crane he sees is 147 feet tall, finishing a building that is 140 feet tall. On average, what percentage taller are the cranes than the building? The first crane is 14 percent taller because if 200 + 200x = 228 then x=.14 The second crane is 20 percent taller because if 100 + 100x = 120 then x = .2 The third crane is 5 percent taller because if 140 + 140x = 147 then x = .5 The total percent is 39 because 14 + 20 + 5 = <<14+20+5=39>>39 The average percent greater the height of the crane is than the building is 13 because 39 / 3 = <<39/3=13>>13 #### 13 Sab and Dane sold 6 pairs of shoes that cost $3 each and 18 shirts that cost $2. How much will each of them earn if they divided their total earning? They earned 6 x $3 = $<<6*3=18>>18 for the shoes they sold. They earned 18 x $2 = <<18*2=36>>36 for the shirts they sold. So, they earned $18 + $36 = $<<18+36=54>>54 in total for the clothing they sold. Therefore, Sab and Dane earned $54 / 2 = $<<54/2=27>>27 each. #### 27 Reggie and his brother are having a basketball shooting contest. They each get to take 10 shots. Layups are worth 1 point, free throws are worth 2 points, and anything further away is worth 3 points. Reggie makes 3 layups, two free throws, and one long shot. His brother only shoots long shots and makes 4 of them. How many points does Reggie lose by? Reggie makes 3 points off layups because 3 x 1 = <<3*1=3>>3 Reggie makes 4 points off free-throws because 2 x 2 = <<2*2=4>>4 Reggie makes 3 points off long shots because 1 x 3 = <<1*3=3>>3 Reggie scores 10 points because 3 + 4 + 3 =<<3+4+3=10>>10 His brother scores 12 points because 4 x 3 = <<4*3=12>>12 Reggie loses by 2 because 12 - 10 = <<12-10=2>>2 #### 2 Carla bought 2 bags of mini peanut butter cups on clearance. Each bag was $6.00 but was 75% off. How much did she spend on 2 bags of candy? Each bag was $6.00 but was marked down 75% for clearance so that's 6*.75 = $<<6*.75=4.50>>4.50 discount Each bag was $6.00 and there is a $4.50 discount so each bag is 6-4.50 = $<<6-4.50=1.50>>1.50 Each bag was marked down to $1.50 a bag and she bought 2 bags for a total of 1.5*2 = $<<1.5*2=3.00>>3.00 #### 3 In a classroom, 10 children have 7 books each. Their teacher brings another 8 books to the classroom. How many books are in the classroom altogether? At first, the children have 10*7=<<10*7=70>>70 books With their teacher, they have 70+8=<<70+8=78>>78 books #### 78 Megan has read 32 books this year. Kelcie has read 1/4 the amount of books that Megan has read. Greg has read 9 more than twice the number of books that Kelcie has read. How many books total have Megan, Kelcie, and Greg read? Kelcie: 32/4=<<32/4=8>>8 books Greg: 9+2(8)=25 books Total:32+8+25=<<32+8+25=65>>65 books #### 65 Jar A has 28 marbles. Jar B has 12 more marbles than jar A. Jar C has twice as many marbles as jar B. How many marbles are there altogether? Jar B has 28 + 12 = <<28+12=40>>40 marbles. Jar C has 2 x 40 = <<2*40=80>>80 marbles. Therefore, there are 28 + 40 + 80 = <<28+40+80=148>>148 marbles altogether. #### 148 A spider has eight legs. If a group of spiders has 10 more spiders than half as many legs as a single spider has, what is the total number of spider legs in this group of spiders? Half as many legs as a single spider has is 8/2=<<8/2=4>>4 legs. 10 more spiders than half as many legs as a single spider has is 4+10=14 spiders. The total number of spider legs in a group of 14 spiders is 8*14=<<8*14=112>>112 spider legs. #### 112