James has 7 more than 4 times the number of Oreos Jordan has. If there are 52 Oreos total, how many does James have?
Define a variable ** Let x be the number of Oreos Jordan has
How many Oreos does James have? ** James has 7+4x Oreos
Write an equation ** Total: 7+4x+x=52
Combine like terms ** 5x+7=52
Subtract 7 from both sides ** 5x=45
Divide by 5 ** x=
<<9=9>>9 How many Oreos does James have? ** James has 7+4(9)=43 Oreos #### 43 Jay has decided to save money from his paycheck every week. He has decided that he will increase the amount he saves each week by 10 dollars. If he started by saving 20 dollars this week, how much will he have saved in a month from now? How much will Jay save in one week? ** In one week he will have saved 20+10=<<20+10=30>>30 dollars How much will Jay save in two weeks? ** In two weeks he will have saved 30+10=<<30+10=40>>40 dollars How much will Jay save in three weeks? ** In three weeks he will have saved 40+10=<<40+10=50>>50 dollars How much will Jay save in four weeks? ** At the end of week four, he will have saved 50+10=<<50+10=60>>60 dollars #### 60 There are three goldfish and ten platyfish in a fish tank. Each goldfish plays with ten red balls, while each platyfish plays with five white balls. What is the total number of balls in the fish tank? How many red balls are there? ** If there are 3 goldfish, and each is playing with ten red balls, then the number of red balls in the tank is 3*10=<<3*10=30>>30 How many white balls are there? ** There are also ten platyfish playing with 5 white balls, there are 10*5= <<10*5=50>>50 white balls. How many balls are there? ** The total number of red and white balls in the fish tank is 50+30 = <<50+30=80>>80 #### 80 A basketball team played 40 games and won 70% of the games. It still had 10 games to play. How many games can they lose to win 60% of their games? How many games did the team win? ** The team has won 40 x 70/100 = <<40*70/100=28>>28 games out of 40. How many games are there? ** There a total of 40 + 10 = <<40+10=50>>50 games to be played. How many games does the team have to win? ** The team has to win a total of is 50 x 60/100 = <<50*60/100=30>>30 games. How many games does the team still need to win? ** So, it still needs to win 30 - 28 = <<30-28=2>>2 more games. How many games can they lose? ** Hence, they can still lose 10 - 2 = <<10-2=8>>8 games. #### 8 A pet store owner had 12 birds, 9 puppies, 5 cats, and 15 spiders. Half the birds were sold and 3 puppies were adopted. Then, someone left the spider enclosure open and 7 of them went loose. How many animals does the pet store owner have left? How many birds are left? ** There are 12/2 = <<12/2=6>>6 birds left. How many puppies are left? ** There are 9-3= <<9-3=6>>6 puppies left. How many spiders are left? ** There are 15 - 7 = <<15-7=8>>8 spiders left. How many animals does the pet store owner have left? ** The pet store owner has 5+6 + 6 + 8 = <<5+6+6+8=25>>25 animals left #### 25 Daytona Beach has 26 shark sightings a year. Daytona Beach has 5 more than triple the number of shark sightings as Cape May. How many shark sightings are there in Cape May? Define a variable ** Let x be the number of shark sightings in Cape May Set up an equation ** 26=5+3x Subtract 5 from both sides ** 21=3x Divide by 3 ** x=<<7=7>>7 #### 7 The price of buying a wooden toy at the new Craftee And Best store is $20, and the cost of buying a hat is $10. If Kendra went to the shop with a $100 bill and bought two wooden toys and three hats, calculate the change she received. How much did Kendra pay for the toys? ** When Kendra bought 2 toys, she paid 2*$20 = $<<2*20=40>>40 How much did Kendra pay for the hats? ** Since the price of a hat is $10, when Kendra bought 3 hats, she paid 3*$10 = $<<3*10=30>>30 How much did Kendra spend? ** The total costs for the hats and wooden toys Kendra bought is $40+$30 = $<<40+30=70>>70 How much change did Kendra receive? ** From the $100 bill, Kendra received change worth $100-$70 =$<<100-70=30>>30 #### 30 Michael has two brothers. His oldest brother is 1 year older than twice Michael's age when Michael was a year younger. His younger brother is 5 years old, which is a third of the age of the older brother. What is their combined age? How old is the oldest brother? ** The oldest brother is 15 because 3 x 5 = <<3*5=15>>15 How old is Michael? ** Michael is 8 because if 1 + (Michael's age - 1) x 2 = 15 then Michael's age = 8 What is their combined age? ** Their combined age is 28 because 5 + 15 + 8 = <<5+15+8=28>>28 #### 28 Daria wants to go to a concert by her favorite band. She wants to buy tickets for her and for three of her friends. One ticket cost is $90. How much money does Daria need to earn if she currently has only $189? How much will the tickets cost? ** Daria wants to buy tickets for four persons, so the cost will be 4 tickets * $90/ticket = $<<4*90=360>>360. How much money does Daria need to earn? ** Daria currently has $189, so she needs $360 - $189 = $<<360-189=171>>171 more. #### 171 Jane's mother agreed to pay her $.50 for every flower bulb that Jane planted. Jane planted 20 tulip bulbs and half that amount of iris bulbs. She also planted 30 daffodil bulbs and three times that amount of crocus bulbs. How much money did Jane earn? How much did Jane earn from planting tulip bulbs? ** 20 tulip bulbs at $.50 each is 20*.50 $<<20*.50=10>>10.00 How many iris bulbs did Jane plant? ** She planted half that amount of iris' so 20/2= <<20/2=10>>10 bulbs How much did Jane earn from planting iris bulbs? ** 10 iris bulbs at $.50 each is 10* .50 = $<<10*.50=5.00>>5.00 How much did Jane earn from planting daffodil bulbs? ** 30 daffodil bulbs at $.50 each is 30*.50=$<<30*.50=15.00>>15.00 How many crocus bulbs did Jane plant? ** She planted three times that amount of crocus bulbs to 30*3 = <<30*3=90>>90 bulbs How much did Jane earn from planting crocus bulbs? ** 90 crocus bulbs at $.50 = $<<90*.50=45.00>>45.00 How much money did Jane earn? ** All total, she earned 10+5+15+45 = $<<10+5+15+45=75.00>>75.00 #### 75