Merry is taking care of 10 lambs. Her brother takes care of 3 more lambs than Merry. How many lambs do Merry and her brother have?

How many lambs does Merry's brother take care of? ** Merry's brother takes care of 10 + 3 =

<<10+3=13>>13 lambs. How many lambs do Merry and her brother have? ** So, together Merry and her brother have 10 + 13 = <<10+13=23>>23 lambs. #### 23 25% of oysters have pearls in them. Jamie can collect 16 oysters during each dive. How many dives does he have to make to collect 56 pearls? How many pearls does Jamie collect per dive? ** First find how many pearls Jamie collects per dive by multiplying the number of oysters by the chance each oyster has a pearl: .25 pearls/oyster * 16 oysters/dive = 4 pearls/dive How many dives does Jamie need to make? ** Then divide the number of pearls he wants by the number of pearls per dive to find the number of dives: 56 pearls / 4 pearls/dive = <<56/4=14>>14 pearls/dive #### 14 The marching band has 110 members. There are 4 times as many percussion players as there are woodwind, and twice as many woodwinds as brass. How many brass players are there? Define a variable ** Let x represent the number of brass players in the band How many woodwind players are there? ** Woodwind:2x How many percussion players are there? ** Percussion:4(2x)=8x Write an equation ** Total:x+2x+8x=110 Combine like terms ** 11x=110 Divide by 11 ** x=<<10=10>>10 #### 10 Stan can type 50 words per minute. He needs to write a 5-page paper. Each page will contain 400 words. Each hour that he types he needs to drink 15 ounces of water. How much water does he need to drink while writing his paper? How many words are in each page? ** Stan needs to write 2,000 words because 5 x 400 = <<5*400=2000>>2,000 How many minutes will it take him to write 2,000 words? ** This will take him 40 minutes because 2,000 / 50 = <<2000/50=40>>40 How many ounces does Stan drink in an hour? ** He drinks 1/4 an ounce per minute because 15 / 60 = 1/4 How many ounces of water will he drink while writing the paper? ** He will drink 10 ounces of water while writing the paper because 40 x (1/4) = <<40*(1/4)=10>>10 #### 10 Oliver has 4 friends that he is inviting to a party at the arcade. Game tokens cost 30 for $1. Each game costs 2 tokens. If he wants all his friends to get to play 60 games each, how much will it cost? How many games will all his friends play? ** He needs to buy enough tokens for 240 games because 4 x 60 = <<4*60=240>>240 How many tokens will he need? ** He needs to buy 480 tokens because 2 x 240 = <<2*240=480>>480 How much will it cost? ** He needs to spend 160 because 480 / 30 = 16 #### 16 Ryan has 30 stickers. Steven has thrice as many stickers as Ryan. Terry has 20 more stickers than Steven. How many stickers do they have altogether? How many stickers does Steven have? ** Steven has 3 x 30 = <<3*30=90>>90 stickers. How many stickers does Terry have? ** And, Terry has 90 + 20 = <<90+20=110>>110 stickers. How many stickers do they have altogether? ** Therefore, they have 30 +90 + 110 = <<30+90+110=230>>230 stickers altogether. #### 230 There are 120 crayons in a box. One third of the crayons are new, 20% are broken, and the rest are slightly used. How many are slightly used? How many new crayons are there? ** New:120/3=<<120/3=40>>40 crayons How many broken crayons are there? ** Broken:120(.20)=24 crayons How many slightly used crayons are there? ** Slightly Used:120-40-24=<<120-40-24=56>>56 crayons #### 56 Jennifer is building tanks to hold her goldfish. She built 3 tanks that will hold 15 fish each, heated, and filled them. She plans to build the rest of the tanks equipped with heaters, and they will hold 10 fish each. If she needs to build enough tanks to house a total of 75 fish, how many more will she need to build? How many fish are in the tanks already built? ** With the tanks already built it has room for 3 tanks * 15 fish/tank = <<3*15=45>>45 fish. How many fish are still without space? ** The total of fish that still lack space is 75 fish - 45 fish = <<75-45=30>>30 fish. How many more tanks will Jennifer need to build? ** This means Jennifer needs 30 fish / 10 fish/tank = <<30/10=3>>3 tanks of 10 fish. #### 3 Mark got a 5% raise at his job. Before the raise, he earned 40 dollars per hour. He works 8 hours per day for 5 days per week. His old bills used to be 600 dollars a week but he decided to add a hundred dollar a week personal trainer. How much does he have leftover a week? How much does Mark earn after the raise? ** After the raise he earns 40*1.05=<<40*1.05=42>>42 dollars an hour How much does Mark earn in a day? ** He works 8 hours per day so earns 42*8=<<8*42=336>>336 per day How much does Mark earn in a week? ** He works 5 days per week so he earns 336*5=<<336*5=1680>>1680 a week How much are Mark's expenses after adding the personal trainer? ** His expenses after adding the personal trainer are 600+100=<<600+100=700>>700 a week How much does Mark have left over a week? ** So he has 1680-700=<<1680-700=980>>980 left over #### 980 Vikki worked 42 hours in one week. Her hourly pay rate is $10. From her weekly earnings, 20% is deducted as tax, 5% is deducted as insurance cover, and $5 is deducted for union dues. How much money, in dollars, does Vikki take home after deductions? How much money did Vikki earn in one week? ** Vikki earnt 10 × $42 = $<<10*42=420>>420 in one week. How much tax does Vikki pay? ** She then gets taxed $420 × 0.2 = $<<420*0.2=84>>84. How much does Vikki lose due to insurance? ** She also loses $420 × 0.05 = $<<420*0.05=21>>21 due to insurance. How much does Vikki pay in union dues? ** Vikki also pays $5 in union dues. How much money does Vikki lose due to deductions? ** In total Vikki loses $84 + $21 + $5 = $<<84+21+5=110>>110 because of deductions. How much money does Vikki take home after deductions? ** Her final total pay after deductions is $420 - $110 = $<<420-110=310>>310 #### 310