Bob started out the week with $80. On Monday alone, he spent half the money. On Tuesday, he spent one-fifth of the amount left from Monday. On Wednesday, he spent 3/8ths of the amount left from Tuesday. How much does he have left now?
On Monday, he spent half of $80 leaving him with $80-(1/2)*$80 = $
<<80-(1/2)*80=40>>40 On Tuesday, he spent 1/5th of $40 leaving $40-(1/5)*40 = $<<40-(1/5)*40=32>>32 On Wednesday, he spent 3/8ths of $32 leaving $32-(3/8)*$32 = $20 #### 20 Janet takes two multivitamins and 3 calcium supplements every day for the first 2 weeks of the month. For the last two weeks of the month, she runs low on calcium supplements and only takes one per day. How many pills does Janet take in that month? First find the number of pills Janet takes every day for the first 2 weeks: 2 pills/day + 3 pills/day = <<2+3=5>>5 pills/day Then find the number of days in 2 weeks: 2 weeks * 7 days/week = <<2*7=14>>14 days Then multiply that number by the number of pills she takes daily to find the total number of pills she takes in the first 2 weeks: 5 pills/day * 14 days = <<5*14=70>>70 pills Then find the number of pills Janet takes every day for the last 2 weeks: 2 pills/day + 1 pill/day = <<2+1=3>>3 pills/day Then multiply that number by the number of days in 2 weeks to find the total number of pills she takes in the last 2 weeks: 3 pills/day * 14 days = <<3*14=42>>42 pills Then add the number of pills she took in the first and last two weeks to find the total number of pills she took: 42 pills + 70 pills = <<42+70=112>>112 pills #### 112 Two-fifths of the seats in an auditorium that holds 500 people are currently taken. It was found that 1/10 of the seats are broken. How many seats are still available? 500/ 2/5 = 200 seats are already taken. 500/ 1/10 = <<500/1/10=50>>50 seats are broken. So 200 + 50 = <<200+50=250>>250 seats are either taken or broken. Therefore, 500 - 250 = <<500-250=250>>250 seats are still available. #### 250 Sophie went to the Dunkin Donuts store and bought 4 boxes of donuts. There were 12 donuts in each box. She gave 1 box to her mom and half a dozen to her sister. How many donuts were left for her? Sophie has 4 - 1 = <<4-1=3>>3 boxes of donuts left. The total number of pieces of donuts that she has is 3 x 12 = <<3*12=36>>36. She gave 12 / 2 = <<12/2=6>>6 donuts to her sister. Therefore Sophie was left with 36 - 6 = <<36-6=30>>30 donuts after giving her sister. #### 30 Julia's internet speed is 20 MBps (megabytes per second). How many songs she can download in half an hour if the size per song is 5MB? 1 hour has 60 minutes, therefore 1/2 hour has 1/2*60 = <<1/2*60=30>>30 minutes 1 minute has 60 seconds, therefore 30 minutes has 30*60 = <<1800=1800>>1800 seconds If Julia's internet speed is 20MBps and each song has a size of 5MB, then it would take 5/20=1/4 seconds to download one song If it takes 1/4 seconds to download 1 song, then in 1800 seconds, Julia could download 1800/(1/4) = 1800 * 4 = 7200 songs #### 7200 A vendor bought apples at 2 for $3 and plans to sell them at 5 for $10. He also bought 3 oranges for $2.70 and plans to sell them at $1 each. How much is his profit if he sells 5 apples and 5 oranges? A vendor bought each apple for $3/2 = $<<3/2=1.50>>1.50. He will sell each apple at $10/5 = $<<10/5=2>>2 each. His profit for each apple is $2 - $1.50 = $<<2-1.5=0.50>>0.50. His total profit for 5 apples is $0.50 x 5 = $<<0.50*5=2.50>>2.50. He bought each orange for $2.70/3 = $<<2.7/3=0.90>>0.90. His profit for each orange is $1 - $0.90 = $<<1-0.9=0.10>>0.10. His total profit for 5 oranges is $0.10 x 5 = $<<0.10*5=0.50>>0.50. Therefore, his total profit for selling 5 apples and 5 oranges is $2.50 + $0.50= $3. #### 3 Isabella has $45 more than Sam but only $15 more than Giselle. If Giselle has $120, calculate the total amount of money each shopper will receive if Isabella, Sam, and Giselle donate the money to three shoppers at their local town's supermarket who then decides to share it equally. If Isabella has $15 more than Giselle, she has $120+$15 = $135 Combined, Isabella and Giselle has $135+$120=$<<135+120=255>>255 Isabella has $45 more than Sam, meaning Sam has $135-$45=$90 Together, Sam, Isabella, and Giselle has $255+$90=$<<255+90=345>>345 if they donate the money to three shoppers at their local town's supermarket who share it equally, each shopper will receive $345/3=$<<345/3=115>>115 #### 115 The number of soldiers on opposite sides of a war each needs 10 pounds of food every day to continue fighting effectively. However, soldiers in the second are each given 2 pounds less food than the first side. If the first side has 4000 soldiers and the other side 500 soldiers fewer than the first side, what's the total amount of pounds of food both sides are eating altogether every day? The first side with 4000 soldiers is eating 4000*10 = <<4000*10=40000>>40000 pounds of food every day. Since the other side has 500 soldiers fewer than the first side, there are 4000-500 = <<4000-500=3500>>3500 soldiers on the second side. Soldiers on the second side are each given 10-2 = <<10-2=8>>8 pounds of food. The total amount of food the second side eats is 8*3500 = <<8*3500=28000>>28000 Altogether, the two sides eat 28000+40000 = <<28000+40000=68000>>68000 pounds of food every day. #### 68000 Olivia pays 4 quarters for chips and 12 quarters for soda. How many dollars does she pay in total? 4 quarters equals to 4 / 4 = $<<4/4=1>>1. 12 quarters equals to 12 / 4= $<<12/4=3>>3. She pays 1 + 3 = $<<1+3=4>>4 in total. #### 4 Mobius is the fastest mule in Italy. She can run at a top speed of 13 miles per hour when she is without any load to carry, and she can travel at 11 miles per hour as her top speed when she carries a typical load. If she travels the 143 miles from Florence, Italy to Rome, Italy at top speed while carrying a typical load, then returns to Florence at her usual top speed without carrying a load, how long, in hours, will the trip take if she takes two 30-minute rest stops during each half of the trip? 30 minutes is 30/60=<<30/60=0.5>>0.5 hours. Two 30-minute rest stops take 0.5*2-1 hour. If she takes two rest stops per each half of the journey, then she takes 2*1=<<2*1=2>>2 hours in rest time. With a load, at her top speed, she can travel 143 miles in 143/11=<<143/11=13>>13 hours. Without a load, at her top speed, she can travel 143 miles in 143/13=<<143/13=11>>11 hours. Thus, the round trip will take 13+11+2=<<13+11+2=26>>26 hours. #### 26