Ali is a baker. Leila ordered 3 chocolate cakes for $12 each and 6 strawberry cakes for $22 each. How much should Leila pay Ali?

How much should Leila pay for the chocolate cakes? ** For the chocolate cakes: Leila should pay: 12 * 3 = $

<<12*3=36>>36 How much should Leila pay for the strawberry cakes? ** For the strawberry cakes: Leila should pay: 22 * 6 = $<<22*6=132>>132 How much should Leila pay Ali? ** Combining the chocolate cakes and strawberry cakes, Leila should pay: 36 +132 = $<<36+132=168>>168 #### 168 Lionel walked 4 miles. Esther walked 975 yards and Niklaus walked 1287 feet. How many combined feet did the friends walk? How many feet did Lionel walk? ** Lionel = 4 * 5280 = <<4*5280=21120>>21120 feet How many feet did Esther walk? ** Esther = 975 * 3 = <<975*3=2925>>2925 feet How many feet did Lionel, Esther and Niklaus walk together? ** Together = 21120 + 2925 + 1287 = <<21120+2925+1287=25332>>25332 feet How many feet did Lionel, Esther and Niklaus walk together? ** Together the friends walked 25332 feet. #### 25332 Jacob is making s'mores. Each s'more takes two graham crackers and one marshmallow. If Jacob has 48 graham crackers and 6 marshmallows, how many more marshmallows does he need to buy? How many marshmallows does Jacob need? ** First find the number of marshmallows Jacob needs: 48 graham crackers / 2 graham crackers/marshmallow = <<48/2=24>>24 marshmallows How many more marshmallows does Jacob need to buy? ** Then subtract the number of marshmallows Jacob already has from the number he needs to find the number he needs to buy: 24 marshmallows - 6 marshmallows = <<24-6=18>>18 marshmallows #### 18 In a parking lot, there are cars and motorcycles. Each car has 5 wheels (including one spare) and each motorcycle has 2 wheels. There are 19 cars in the parking lot. Altogether all vehicles have 117 wheels. How many motorcycles are at the parking lot? How many wheels are on the cars? ** There are 19 cars at the lot, so there are 5 * 19 = <<19*5=95>>95 wheels of cars. How many wheels are on the motorcycles? ** So there are 117 - 95 = <<117-95=22>>22 wheels of motorcycles in the parking lot. How many motorcycles are at the parking lot? ** Each motorcycle has 2 wheels, so that leaves us with 22 / 2 = <<22/2=11>>11 motorcycles in the parking lot. #### 11 Dolly wants to ride the Ferris wheel twice, the roller coaster three times, and the log ride seven times. The Ferris wheel costs 2 tickets, the roller coaster costs 5 tickets and the log ride costs 1 ticket. Dolly has 20 tickets. How many more tickets should Dolly buy? How many tickets does it cost to ride the Ferris wheel twice? ** It costs 2 rides x 2 tickets/ride = <<2*2=4>>4 tickets to ride the Ferris wheel twice. How many tickets does it cost to ride the roller coaster three times? ** It costs 3 rides x 5 tickets/ride = <<3*5=15>>15 tickets to ride the roller coaster three times. How many tickets does it cost to ride the roller coaster seven times? ** It costs 7 rides x 1 ticket/ride = <<7*1=7>>7 tickets to ride the roller coaster seven times. How many tickets does Dolly need? ** In total Dolly needs 4 tickets + 15 tickets + 7 tickets = <<4+15+7=26>>26 tickets. How many more tickets should Dolly buy? ** Dolly needs to buy 26 tickets - 20 tickets = <<26-20=6>>6 more tickets. #### 6 Rachel solved 5 math problems each minute for 12 minutes before bed, but she didn't finish all of them. The next day, she finished the last 16 problems at lunch. How many math problems did she do in all? How many problems did Rachel do before going to bed? ** Before going to bed, Rachel did a total of 5 × 12 = <<5*12=60>>60 problems. How many math problems did Rachel do in all? ** In total Rachel did 60 + 16 = <<60+16=76>>76 maths problems. #### 76 Greg is riding his bike around town and notices that each block he rides, his wheels rotate 200 times. He's now on a a trail and wants to make sure he rides at least 8 blocks. His wheels have already rotated 600 times, how many more times do they need to rotate to reach his goal? How many times do the wheels need to rotate? ** They need to rotate 1,600 times because 8 x 200 = <<8*200=1600>>1,600 How many more times do the wheels need to rotate? ** They need to rotate 1,000 more times because 1,600 - 600 = <<1600-600=1000>>1,000 #### 1000 Ethyl bought Lucy two new dolls for her doll collection. This increased the doll collection by 25%. After the addition of the two new dolls, how many dolls are in Lucy's collection? Define a variable ** Let's let "x" be the original number of dolls in Lucy's doll collection. How many dolls are in the collection after the addition of the two new dolls? ** Then, 2 dolls equals an increase of 25%, and this can be written as x*0.25=<<2=2>>2. How many dolls were in Lucy's original collection? ** Solving for x we get x=2/0.25=<<2/0.25=8>>8 dolls in Lucy's original collection. How many dolls are in Lucy's collection after the addition of the two new dolls? ** After the gift of two new dolls, Lucy's collection contains 8+2=<<8+2=10>>10 dolls. #### 10 A mosquito sucks 20 drops of blood every time it feeds on someone. If there are 5000 drops per liter and you have to lose 3 liters of blood to die, how many mosquitoes would have to feed on you to kill you? How many drops does a mosquito suck in one feeding? ** First find the total number of liters a mosquito sucks in one feeding: 20 drops / 5000 drops/liter = <<20/5000=.004>>.004 L/feeding How many feedings would it take to drain 3 liters of blood? ** Then divide the lethal amount of blood by the amount of blood one mosquito can drain: 3 L / .004 L/feeding = <<3/.004=750>>750 feedings #### 750 Chris wanted to buy a new video game that costs $60 as well as an assortment of candy that costs $5. To earn the money, he agreed to babysit his little sister for $8 per hour. If he works 9 hours, how much money will be left over after he makes his purchases? How much does Chris want to spend? ** He wants to buy a $60 game and $5 of candy so 60 + 5 = $<<60+5=65>>65 How much will Chris make? ** He will make $8 per hour of babysitting and will work 9 hours so 8 * 9 = $<<8*9=72>>72 How much money will be left over after Chris makes his purchases? ** He made $72 and spent $65 so 72-65 = $<<72-65=7>>7 left over #### 7