Tom split 2 apples into 8 slices each. Tom gave 3/8ths of the apple slices to his friend Jerry, then ate half of the remaining slices. How many apple slices does Tom have left?

2 apples cut into 8 slices each is 2*8=

<<2*8=16>>16 slices 2/8ths of the apple slices is 16*3/8=6 slices Tom had 16-6=<<16-6=10>>10 slices Tom then ate half the slices so he has 10/2=<<10/2=5>>5 slices #### 5 Ms. Warren ran at 6 mph for 20 minutes. After the run, she walked at 2 mph for 30 minutes. How many miles did she run and walk in total? 20 minutes is 20/60=1/3 of an hour. Ms. Warren ran 6/3=<<6/3=2>>2 miles. 30 minutes is 30/60=1/2 of an hour. Ms. Warren walked 2/2=<<2/2=1>>1 mile. Ms Warren ran and walked 2+1=<<2+1=3>>3 miles in total. #### 3 There are four times as many boys at Lulu's party as girls. Each boy paid twice the money that each girl paid to attend the party. If there are 40 boys at the party and each boy paid $50 to attend the party, calculate the total amount of money collected at the party. The total amount of money collected from the boy's payment is 40*$50 = $<<40*50=2000>>2000 There are four times as many boys at Lulu's party as girls, meaning there are 40/4 = <<40/4=10>>10 girls at the party. since each boy paid twice the money that each girl paid to attend the party, each girl paid $50/2 = $<<50/2=25>>25 The total amount of money collected from the girl's payment is $25*10 = $<<25*10=250>>250 The total amount of money collected at the party is $250+$2000 = $<<250+2000=2250>>2250 #### 2250 There are 50 children at the party. Three-fifths of them are boys. How many of the children are girls? 50 x 3/5 = <<50*3/5=30>>30 children are boys. So, there are 50 - 30 = <<50-30=20>>20 children that are girls. #### 20 Three frogs are trying to hop across the road. The first frog takes 4 times as many hops as the second. The second frog takes twice as many as the third. If the three frogs took a total of 99 hops, how many hops did it take the second frog to cross the road? Let x represent the number of hops it took the third frog The second frog:2x First frog:4(2x)=8x Total:x+2x+8x=99 11x=99 x=<<9=9>>9 Second frog:2(9)=18 hops #### 18 Samson is going to another town which is 140 km away. He will use his car that uses ten liters of gasoline for a distance of 70 km. How many liters of gasoline will Samson need for a one-way trip? Samson will need 140 km/70 km = <<140/70=2>>2 ten liters of gasoline for a one-way trip to a town. Therefore, he will need a total of 2 x 10 liters = <<2*10=20>>20 liters of gasoline. #### 20 Abigail has a report due tomorrow which needs to be 1000 words in length. Abigail can type 300 words in half an hour. If she has already written 200 words, how many more minutes will it take her to finish the report? She needs to type an additional 1000 – 200 = <<1000-200=800>>800 words. In one minute she can type 300 words / 30 = <<300/30=10>>10 words. It will take her 800 / 10 = <<800/10=80>>80 more minutes to finish typing the report. #### 80 Brendan makes $6/hour as a waiter. He's scheduled for 2 8-hour shifts and 1 12-hour shift this week. He also makes an average of $12 in tips each hour. Brendan is supposed to pay 20% of his income in taxes, but he only reports 1/3rd of his tips to the IRS. How much money does Brendan pay in taxes each week? First find the total number of hours Brendan works for the 8-hour shifts: 2 shifts * 8 hours/shift = <<2*8=16>>16 hours Then find the total number of hours Brendan works by adding those hours to the 12-hour shift: 16 hours + 12 hours = <<16+12=28>>28 hours Now find Brendan's total wage earnings by multiplying his $6/hour wage by the number of hours he works: $6/hour * 28 hours = $<<6*28=168>>168/week Now figure out how much Brendan makes in tips by multiplying the number of hours he works by the amount of tips he makes per hour: $12/hour * 28 hours/week = $<<12*28=336>>336/week Now divide that number by 3, since Brendan only reports a third of his tips: $336/week / 3 = $<<336/3=112>>112/week Now add Brendan's wage earnings to that number to find how much income he reports to the IRS each week: $168/week + $112/week = $<<168+112=280>>280/week Finally, multiply Brendan's reported income by his tax rate to find how much he pays in taxes each week: $280/week * .2 = $<<280*.2=56>>56/week #### 56 Three friends went out to watch a movie. Mitch paid for their tickets at $7 each. On the other hand, Jam paid for the 2 boxes of popcorn at $1.5 while Jay paid for the 3 cups of milk tea at $3 each. If the three of them will split the total expenses, how much should each contribute? Three tickets cost $7 x 3 = $<<7*3=21>>21. Two boxes of popcorn cost $1.5 x 2 = $<<1.5*2=3>>3. Three cups of milk tea cost $3 x 3 = $<<3*3=9>>9. The total expenses for the their tickets and food are $21 + $3 + $9 = $<<21+3+9=33>>33. So, each of them should contribute $33/3 = $<<33/3=11>>11. #### 11 Vlad is 6 feet, 3 inches tall. His younger sister is 2 feet, 10 inches tall. How many inches taller is Vlad than his sister? Vlad = 6 ft * 12 in/ft + 3 = <<6*12+3=75>>75 inches Sister = 2 ft * 12 in/ft + 10 = <<2*12+10=34>>34 inches 75 - 34 = <<75-34=41>>41 inches Vlad is 41 inches taller than his sister. #### 41