Cara is at her family reunion, where she discovers that she is 20 years younger than her mom. Her mom is 15 years younger than Cara's Grandmother. If Cara's grandmother is 75, how old is Cara?

How old is Cara's mom? ** Cara's mom: 75-15=

<<75-15=60>>60 years old How old is Cara? ** Cara: 60-20=<<60-20=40>>40 years old #### 40 A liter of chlorine costs $10 and is now sold at 20% off. A box of soap that costs $16 is now sold at 25% off. How much will you save if you buy 3 liters of chlorine and 5 boxes of soap? How much will I save on each liter of chlorine? ** For each liter of chlorine, I can save $10 x .20 = $<<10*.20=2>>2. How much will I save on each box of soap? ** For each box of soap, I can save $16 x .25 = $<<16*.25=4>>4. How much will I save on the 3 liters of chlorine? ** With the 3 liters of chlorine, I can save $2 x 3 = $<<3*2=6>>6. How much will I save on the 5 boxes of soap? ** With the 5 boxes of soap, I can save $4 x 5 = $<<4*5=20>>20. How much will I save if I buy 3 liters of chlorine and 5 boxes of soap? ** Therefore, I can save a total of $6 + $20 = $<<6+20=26>>26. #### 26 Sean and Sierra invited 200 guests to their wedding. If 83% of the guests RSVP with a Yes response and 9% of the guests RSVP with a No response, how many guests did not respond at all? How many guests did Sean and Sierra invite? ** Yes RSVP responses are 200 x 83% = <<200*83*.01=166>>166 guests. How many guests did Sean and Sierra invite? ** No RSVP responses are 200 x 9% = <<200*9*.01=18>>18 guests. How many guests did Sean and Sierra invite? ** Guests who responded are 166 + 18 = <<166+18=184>>184. How many guests did Sean and Sierra invite? ** Guests who did not respond at all are 200 - 184 = <<200-184=16>>16. #### 16 Kyle has $12 less than 3 times what Dave has. Kyle then spends a third of it going snowboarding. If Dave has $46, how much money does Kyle have? How much money does Kyle have? ** Kyle has 46*3-12 = <<46*3-12=126>>126 dollars. How much does Kyle spend? ** Kyle spends 126/3 = <<126/3=42>>42 dollars going snowboarding. How much money does Kyle have left? ** Kyle has 126-42 = <<126-42=84>>84 dollars left. #### 84 The base of a hill located beside a river is 300m above the seabed. If this depth is a quarter of the vertical distance between the riverbed and the peak of the hill, how high is the hill? How far is the riverbed from the hill's peak? ** 300m is a quarter of the distance from the riverbed to the hill's peak so (1/4)*distance from riverbed to peak = 300m How far is the riverbed from the hill's peak? ** Multiplying both sides of the equation by 4 gives the distance from riverbed to peak = 300m*4 = <<300*4=1200>>1200m How high is the hill? ** The height of the hill is the difference between the distance from the riverbed to the hill's peak and the distance from the riverbed to the hill's base which is 1200m-300m = <<1200-300=900>>900m #### 900 John travels 150 miles in 2 hours. The speed limit is 60 mph. How many mph above the speed limit was he driving? How fast was John traveling? ** He was driving 150/2=<<150/2=75>>75 mph How fast was John driving above the speed limit? ** So he was 75-60=<<75-60=15>>15 mph above the speed limit #### 15 Raine's house is just a walking distance from her school. It takes her 150 steps to walk to the school. How many steps does she take walking to and from school in five days? How many steps does Raine take walking to and from school each day? ** Raine takes 150 x 2 = <<150*2=300>>300 steps walking to and from school each day. How many steps does Raine take walking to and from school in five days? ** Thus, it takes her 300 x 5 = <<300*5=1500>>1500 steps in five days. #### 1500 Ian spent half the money he made on doing online surveys. If he worked 8 hours doing surveys and on average he's able to earn $18 per hour doing surveys, how much money does he have left? How much money did Ian earn doing surveys? ** Ian is able to earn $18 per hour doing surveys. If he worked 8 hours doing surveys, then he earned $18*8 = $<<18*8=144>>144 How much money did Ian spend? ** If he spent half of what he earned, then he spent $144 * 50% = $<<144*50*.01=72>>72 How much money does Ian have left? ** If Ian spent $72 of his earnings, then he has $144 - $72 = $<<72=72>>72 left #### 72 Joan wants to visit her family who live 480 miles away. If she drives at a rate of 60 mph and takes a lunch break taking 30 minutes, and 2 bathroom breaks taking 15 minutes each, how many hours did it take her to get there? How many hours did it take Joan to drive to her family? ** The driving time is 480/60= <<480/60=8>>8 hours How many minutes did it take Joan to take breaks? ** The time for breaks was 30+15+15=<<30+15+15=60>>60 minutes How many hours did it take Joan to take rest stops? ** So she spent 60/60=<<60/60=1>>1 hour for rest stops. How many hours did it take Joan to get there? ** So it took her 8+1=<<8+1=9>>9 hours #### 9 John takes a 20-foot log and cuts it in half. If each linear foot of the log weighs 150 pounds how much does each cut piece weigh? How long is each cut piece? ** Each cut piece is 20/2=<<20/2=10>>10 feet long How much do each cut pieces weigh? ** So they each weigh 10*150=<<10*150=1500>>1500 pounds #### 1500