Michael scored 260 points during his junior year on the school basketball team. He scored 20% more points during his senior year. How many points did he score during both years?

In his senior year, Michael scored 260 × 1.20 =

<<260*1.20=312>>312 points. In both his senior and junior years Michael scored 260 + 312 = <<260+312=572>>572 points. #### 572 James has 18 chocolate bars to sell for the swim team. He sold 5 last week and 7 this week. How many more chocolate bars does he need to sell? He has sold a total of 5 + 7 = <<5+7=12>>12 chocolate bars so far. James needs to sell 18 - 12 = <<18-12=6>>6 more chocolate bars. #### 6 Quinten sees three buildings downtown and decides to estimate their heights. He knows from a book on local buildings that the one in the middle is 100 feet tall. The one on the left looks like it is 80% of the height of the middle one. The one on the right looks 20 feet shorter than if the building on the left and middle were stacked on top of each other. How tall does Quinten estimate their total height to be? He estimates the building on the left is 80 feet tall because 100 x .8 = <<100*.8=80>>80 The combined height of the left and middle is 180 because 100 + 80 = <<100+80=180>>180 The building on the right he estimates as 160 feet because 180 - 20 = <<180-20=160>>160 He estimates the combined height as 340 feet because 80 + 100 + 160 = <<80+100+160=340>>340 #### 340 There are 20 cars lined up at a race. Each of the cars have 2 passengers and a driver, then when the cars go past the race’s halfway point, each car gains another passenger. The cars then continue racing, and the race finishes once every single car has passed the finish line. People who get into the cars have to stay inside of them until the race is finished. How many people are in the cars by the end of the race? There are 2 passengers and a driver in each car, which means that in each car there are 2 passengers + 1 driver = <<2+1=3>>3 people. This means there are a total of 20 cars * 3 people per car = <<20*3=60>>60 people in the car at the start of the race. At the halfway point, there is an additional 20 cars * 1 additional passenger = <<20*1=20>>20 more people. So be the end of the race, there are 60 people at the start of the race + 20 additional people = <<60+20=80>>80 people in the cars. #### 80 You have 32$ to spend on groceries. You buy a loaf of bread for 3$, a candy bar for 2$, and 1/3 of whats left on a Turkey. How much money do you have left? 32-3=<<32-3=29>>29 29-2=<<29-2=27>>27 27(1/3)=9 27-9=<<27-9=18>>18$ #### 18 Ben spends 20% of his after-tax income on his car. If his car payment is $400 and he pays 1/3 of his gross income in taxes, how much does he make per month before taxes? First divide that amount of the car payment by 20% to find Ben's after-tax salary: $400 / .2 = $<<400/.2=2000>>2000 Then find the proportion of his salary Ben keeps after taxes by subtracting the tax rate from 1: 1 - 1/3 = 2/3 Then divide Ben's after-tax salary by the proportion of his salary he keeps to find his before-tax salary: $2000 / 2/3 = $3000 #### 3000 At Roosevelt high school there are 600 students in the senior class. A fifth of the students are in the marching band. Of the students in the marching band, half of them play a brass instrument. Of the students that play a brass instrument, a fifth of them play the saxophone. Of the students that play the saxophone, a third of them play the alto saxophone. How many students play the alto saxophone? The number of students in the marching band is 600 / 5 = <<600/5=120>>120 students The number of students that play a brass instrument is 120 / 2 = <<120/2=60>>60 students The number of students that play the saxophone is 60 / 5 = <<60/5=12>>12 students The number of students that play the alto saxophone is 12 / 3 = <<12/3=4>>4 students #### 4 Tom, an avid stamp collector, has 3,000 stamps in his collection. He is very sad because he lost his job last Friday. His brother, Mike, and best friend, Harry, try to cheer him up with more stamps. Harry’s gift to Tom is 10 more stamps than twice Mike’s gift. If Mike has given Tom 17 stamps, how many stamps does Tom’s collection now have? Twice the number of stamps given by Mike is 17 stamps * 2 = <<17*2=34>>34 stamps Harry therefore gave Tom 10 stamps + 34 stamps = <<10+34=44>>44 stamps Combining both gifts gives a gift total of 44 stamps + 17 stamps = <<44+17=61>>61 stamps The total number of stamps in Tom’s collection is now 3000 stamps + 61 stamps = <<3000+61=3061>>3061 stamps #### 3061 Diana is twice as old as Grace is today. If Grace turned 3 a year ago, how old is Diana today? Today, Grace is 3 + 1 = <<3+1=4>>4 years old. So, Diana is 4*2 = <<4*2=8>>8 years old today. #### 8 A parking garage of a mall is four stories tall. On the first level, there are 90 parking spaces. The second level has 8 more parking spaces than on the first level, and there are 12 more available parking spaces on the third level than on the second level. The fourth level has 9 fewer parking spaces than the third level. If 100 cars are already parked, how many cars can be accommodated by the parking garage? The second level has 90 + 8 = <<90+8=98>>98 parking spaces. The third level has 98 + 12 = <<98+12=110>>110 parking spaces. The fourth level has 110 - 9 = <<110-9=101>>101 parking spaces. So the parking garage can accommodate 90 + 98 + 110 + 101 = <<90+98+110+101=399>>399 cars. Thus, the parking garage can still accommodate 399 - 100 = <<399-100=299>>299 cars. #### 299