If olivine has 5 more precious stones than agate and diamond has 11 more precious stones than olivine, how many precious stones do they have together if agate has 30 precious stones?

How many precious stones does olivine have? ** Since Agate has 30 precious stones and Olivine has 5 more precious stones, then Olivine has 30+5 =

<<30+5=35>>35 precious stones. How many precious stones do they have together? ** The total number of stones Olivine and Agate has is 35+30 = <<35+30=65>>65 How many precious stones does diamond have? ** Diamond has 11 more precious stones than Olivine, who has 35 stones, meaning Diamond has 35+11= <<11+35=46>>46 precious stones How many precious stones do they have together? ** In total, they all have 65+46 = <<65+46=111>>111 precious stones. #### 111 James can make a beret from 3 spools of yarn. If he has 12 spools of red yarn, 15 spools of black yarn, and 6 spools of blue yarn, how many berets can he make? How many spools of yarn does James have? ** First find the total number of spools of yarn James has: 12 spools + 15 spools + 6 spools = <<12+15+6=33>>33 spools How many berets can James make? ** Then divide that number by the number spools each beret needs: 33 spools / 3 spools/beret = <<33/3=11>>11 berets #### 11 Ben's new car cost twice as much as his old car. He sold his old car for $1800 and used that to pay off some of the cost of his new car. He still owes another $2000 on his new car. How much did his old car cost, in dollars? How much did Ben's new car cost? ** His new car costs 1800+2000=<<1800+2000=3800>>3800 dollars. How much did Ben's old car cost? ** His old car cost 3800/2=<<3800/2=1900>>1900 dollars. #### 1900 Mr. Smith has incurred a 2% finance charge because he was not able to pay on time for his balance worth $150. If he plans to settle his balance today, how much will Mr. Smith pay? How much is the finance charge? ** The finance charge amounts to $150 x 2/100 = $<<150*2/100=3>>3. How much will Mr. Smith pay? ** Thus, Mr. Smith will pay a total of $150 + $3 = $<<150+3=153>>153. #### 153 Happy Island has 60 turtles. This means there are 10 more than 2 times as many turtles on Happy Island as on Lonely Island. How many turtles are there on Lonely Island? How many turtles are there on Happy Island? ** After subtracting 10 from the number of turtles on Happy Island, we get 60 - 10 = <<60-10=50>>50 turtles How many turtles are there on Lonely Island? ** Dividing this number by two, we find that the number of turtles on Lonely Island is 50/2=<<50/2=25>>25 turtles. #### 25 If Jason eats three potatoes in 20 minutes, how long, in hours, would it take for him to eat all 27 potatoes cooked by his wife? How many minutes are in 20 minutes? ** Since 1 hour is 60 minutes, 20 minutes is 20/60=1/3 of an hour. How many potatoes does Jason eat in an hour? ** Eating 3 potatoes per 20 minutes is 3/(1/3)=<<3/(1/3)=9>>9 potatoes per hour. How many hours will it take Jason to eat all of the potatoes? ** At 9 potatoes per hour, it will take Jason 27/9=3 hours to eat all of the potatoes. #### 3 Sam has 18 cows. 5 more than half the cows are black. How many cows are not black? What is half the number of cows? ** Half of the cows: 18/2=<<18/2=9>>9 How many black cows are there? ** Black cows: 5+9=<<5+9=14>>14 How many cows are not black? ** 18-14=<<18-14=4>>4 cows #### 4 John decides to fix a racecar. It cost $20,000 to fix but he gets a 20% discount. He wins his first race but only keeps 90% of the money. The prize is $70,000. How much money did he make from the car? How much does John get off the car? ** He gets a 20000*.2=$<<20000*.2=4000>>4000 discount How much did John pay for the car? ** So he paid 20000-4000=$<<20000-4000=16000>>16000 How much did John keep? ** He kept 70000*.9=$<<70000*.9=63000>>63000 How much money did John make from the car? ** So he made 63,000-16,000=$<<63000-16000=47000>>47,000 #### 47,000 John climbs up 9 flights of stairs. Each flight is 10 feet. If each step is 18 inches, how many steps does he climb up? How many feet does John climb? ** He has to climb 9*10=<<9*10=90>>90 feet How many inches does John climb? ** That means he needs to climb 90*12=<<90*12=1080>>1080 inches How many stairs does John climb? ** That means he needs to climb 1080/18=<<1080/18=60>>60 stairs #### 60 Madeline has $48 and her brother has half as much. How much do they have together? How much does Madeline's brother have? ** Madeline's brother has $48/2 = $<<48/2=24>>24. How much do they have together? ** Together, they have $48 + $24 = $<<48+24=72>>72. #### 72