Emma's bank account has $100 in it. Each day of the week, she spends $8. At the end of the week, she goes to the bank and asks for as many $5 bills as her account can give her. She leaves the rest in the account. How many dollars remain in the account?

How much does Emma spend in a week? ** She spend $56 because 7 x 8 =

<<7*8=56>>56 How much does Emma have left in the bank? ** She has $44 left in the bank because 100 - 56 = <<100-56=44>>44 How many $5 bills can Emma get? ** She can get 8 five dollar bills because 44 / 5 = <<44/5=8.8>>8.8 How much do the $5 bills cost? ** This is equal to $40 because 8 x 5 = <<8*5=40>>40 How much does Emma have left in the account? ** She has $4 left in the account because 44 - 40 = <<44-40=4>>4 #### 4 Brian has twice as many tennis balls as Frodo, who has 8 more than Lily. If Lily has 3 tennis balls, how many does Brian have? How many tennis balls does Frodo have? ** Frodo has 8 tennis balls more than Lily (who has 3), so he has 8+3 = <<8+3=11>>11 tennis balls How many tennis balls does Brian have? ** Brian has twice as many as Frodo, which makes 11*2 = <<11*2=22>>22 tennis balls. #### 22 There are 4 more Muscovy ducks than Cayugas, and 3 more than twice as many Cayugas as Khaki Campbells. If there are 90 ducks total, how many Muscovies are there? Define a variable ** Let x represent the number of Khaki Campbell ducks. How many Cayugas are there? ** Cayugas:3+2x How many Muscovies are there? ** Muscovies:4+(3+2x)=7+2x Write an equation ** Total: x+3+2x+7+2x=90 Combine like terms ** 5x+10=90 Subtract 10 from both sides ** 5x=80 Divide by 5 ** x=<<16=16>>16 How many Muscovies are there? ** Muscovy: 7+2(16)=39 #### 39 Wally gives 3/4 of his 400 tickets to his two friends Jensen and Finley, who share the tickets in a ratio of 4:11. How many tickets does Finley get? How many tickets does Wally give to his friends? ** Wally gives his friends 3/4*400 = <<3/4*400=300>>300 tickets to share. How many tickets does Jensen and Finley share? ** The total ratio that represents the tickets that Jensen and Finley share is 4+11 = <<4+11=15>>15 How many tickets does Finley get? ** From the total ratio, the fraction that represents the share that Finley got is 11/15, and since he shared with Jensen 300 tickets, he got 11/15*300 = <<11/15*300=220>>220 tickets #### 220 There are 30 fish in the tank. One third of them are blue, and half of the blue fish have spots. How many fish in the tank are blue, spotted fish? How many blue fish are there? ** There are 30/3=<<30/3=10>>10 blue fish. How many blue spotted fish are there? ** There are 10/2=<<10/2=5>>5 blue spotted fish. #### 5 Nancy can hula hoop for 10 minutes. Casey can hula hoop 3 minutes less than Nancy. Morgan can hula hoop three times as long as Casey. How long can Morgan hula hoop? How long can Casey hula hoop? ** Casey can hula hoop 3 minutes less than Nancy so she can hula hoop for 10-3 = <<10-3=7>>7 minutes How long can Morgan hula hoop? ** Morgan can hula hoop three times as long as Casey, who can hula hoop for 7 minutes, so she can hula hoop for 3*7 = <<3*7=21>>21 minutes #### 21 Mary goes with her 3 children to the circus. Tickets cost $2 for adults and $1 for children. Mary pays with a $20 bill. How much change will she receive? How much does Mary's ticket cost? ** Mary's ticket costs $2/ticket * 1 ticket = $<<2*1=2>>2 How much do Mary's children's tickets cost? ** Mary's children's tickets cost 3 tickets * $1 = $<<3*1=3>>3 How much do Mary's tickets cost together? ** Together the tickets cost $2 + $3 = $<<2+3=5>>5 How much change will Mary receive? ** After paying with a 20-dollar bill, Mary will receive $20 - $5 = $<<20-5=15>>15 #### 15 The school decided to have a fundraiser to collect $750 for new basketball equipment. Families could donate $25, $50, or $100. Families who donated $25 got Bronze Status. Families who donated $50 got Silver Status. Families who donated $100 got Gold Status. With one day left in the fundraiser, the school has 10 Bronze Status families, 7 Silver Status Families and 1 Gold Status family. How much do they need to raise on the final day to reach their goal? How much did the Bronze Status families donate? ** They collected $250 from Bronze Status families because 10 times 25 equals <<10*25=250>>250. How much did the Silver Status families donate? ** They collected $350 from Silver Status families because 7 times 50 equals <<7*50=350>>350. How much did the Gold Status families donate? ** They collected $100 from Gold Status families because 1 times 100 equals 100. How much did the families donate? ** Therefore, they collected $700 thus far because 250 plus 350 plus 100 equals <<250+350+100=700>>700. How much do they need to raise on the final day to reach their goal? ** They need to collect $50 more because 750 minus 700 equals 50. #### 50 Jan's three-eyed lizard has 3 times more wrinkles than eyes, and seven times more spots than wrinkles. How many fewer eyes does the lizard have than the combined number of spots and wrinkles? How many wrinkles does the lizard have? ** Three times more wrinkles than three eyes is 3*3=<<3*3=9>>9 wrinkles. How many spots does the lizard have? ** Seven times more spots than wrinkles is 7*9=<<7*9=63>>63 spots. How many spots and wrinkles does the lizard have? ** Therefore, the combined number of spots and wrinkles on the lizard is 63+9=<<63+9=72>>72 spots and wrinkles. How many fewer eyes does the lizard have than the combined number of spots and wrinkles? ** Thus, the lizard has 72-3=69 fewer eyes than spots and wrinkles #### 69 Bob and Jim decide to skip rocks. Bob can skip a rock 12 times. Jim can skip a rock 15 times. If they each skipped 10 rocks how many total skips did they get? How many skips did Bob get? ** Bob got 12*10=<<12*10=120>>120 skips How many skips did Jim get? ** Jim got 15*10=<<15*10=150>>150 skips How many total skips did they get? ** So in total they got 120+150=<<120+150=270>>270 skips #### 270