Ryan builds model mustang cars. A full size mustang is 240 inches long. The mid-size model that Ryan creates is 1/10th the size, and the smallest model that Ryan creates is half the size of the mid-size model. How many inches long is the smallest model mustang?

How many inches long is the mid-size model? ** Mid-size:240/10=

<<240/10=24>>24 inches How many inches long is the smallest model? ** Small Model:24/2=<<24/2=12>>12 inches #### 12 Taylor and his friends decide to bring their pets together for a walk. 3 of his friends come first, each having twice as many pets as Taylor has. Another two of his friends have 2 pets each. If Taylor has 4 pets, what's the total number of pets they have together? How many pets does each of Taylor's first friends bring? ** If Taylor has 4 pets, and each of his first friends brings twice as much, the total for each friend is 4*2 = <<4*2=8>>8 pets. How many pets does Taylor's first friends bring together? ** The total number of pets for Taylor's first friends is 8*3 = <<8*3=24>>24 pets. How many pets does each of Taylor's other friends bring? ** The other two friends brought two pets each, a total of 2*2 = <<2*2=4>>4 pets. How many pets does Taylor and his friends bring together? ** The total number of pets will be Taylor's pets plus his friend's, which is 4+4+24 = <<4+4+24=32>>32 pets #### 32 40 kids are running a race. 10% of them pass the finish line in less than 6 minutes. Three times that number finish in less than 8 minutes. 1/6 of the remaining kids take more than 14 minutes. How many kids take more than 14 minutes? How many kids finish in under 6 minutes? ** First find how many kids finish in under 6 minutes: 40 kids * 10% = <<40*10*.01=4>>4 kids How many kids finish in less than 8 minutes? ** Then triple that number to find how many finish in less than 8 minutes: 4 kids * 3 = <<4*3=12>>12 kids How many kids remain? ** Then subtract those two numbers from the total number of kids to find the number of remaining kids: 40 kids - 4 kids - 12 kids = <<40-4-12=24>>24 kids How many kids take more than 14 minutes? ** Then divide that number by 6 to find how many kids take more than 14 minutes: 24 kids / 6 = <<24/6=4>>4 kids #### 4 Johnson owns a hectare cornfield that can yield 80 corn every two months, while his neighbor owns a two-hectare cornfield and each hectare can yield twice the amount as Johnson. How much corn can they harvest altogether after six months? How many corns can each hectare of Johnson's neighbor yield? ** Each hectare of Johnson's neighbor can yield 80 x 2 = <<80*2=160>>160 corns every two months. How many corns can the neighbor's two-hectare cornfield yield? ** So, the neighbor's two-hectare cornfield can yield a total of 160 x 2 = <<160*2=320>>320 corns every two months. How many corns can they harvest altogether after six months? ** They yield a total of 80 + 320 = <<80+320=400>>400 corns. How many corns can they harvest altogether after six months? ** Therefore, They can harvest 400 x 3 = <<400*3=1200>>1200 corns altogether. #### 1200 If Brooke adds eight balloons to his current 12, and Tracy adds 24 to her current 6, how many balloons will they have in total if Tracy pops half of her balloons? How many balloons does Brooke get? ** When Brooke gets twelve more balloons, his total becomes 12+8 = <<12+8=20>>20 How many balloons does Tracy get? ** When Tracy adds 24 more balloons to her 6, her total number of balloons becomes 24+6 = <<24+6=30>>30 How many balloons does Tracy have left? ** When half of Tracy's balloons pop, she remains with 1/2*30 =<<1/2*30=15>>15 How many balloons will Brooke and Tracy have in total? ** The combined total balloons for the two is 15+20 = <<15+20=35>>35 balloons #### 35 Steven is preparing a shipment of boxes to deliver to a customer for his chemical supply business. The products are very delicate and must be carefully packed, so partially filled boxes can’t be shipped. Steven has three trucks that can be sent on each delivery. Each truck can carry a load of no more than 2,000 pounds of cargo. Some of the boxes weigh 10 pounds after being packed, and some of the boxes weigh 40 pounds when packed. Steven’s customer has ordered equal quantities of both the lighter and heavier products. How many boxes of products can Steven ship to his customer in each delivery? How many pounds does each pair of boxes weigh? ** Each pair of boxes weighs 40 pounds + 10 pounds, or <<40+10=50>>50 pounds. How many pairs of boxes can the delivery trucks carry? ** Each pair weighs 50 pounds, so the delivery trucks can carry 2000 / 50 pairs of boxes or <<2000/50=40>>40 pairs. How many pairs of boxes can each trip move? ** Steven has three trucks, so each trip can move 40 * 3 pairs of boxes = <<40*3=120>>120 pairs of boxes. How many boxes are in each delivery? ** Each pair is a set of two boxes, so each delivery contains 120 * 2 boxes = <<120*2=240>>240 boxes #### 240 If farmer Steven can use his tractor to plow up to 10 acres of farmland per day, or use the same tractor to mow up to 12 acres of grassland per day, how long would it take him to plow his 55 acres of farmland and mow his 30 acres of grassland? How many days would it take him to plow his 55 acres of farmland? ** At a rate of 10 acres per day, he can plow his 55 acres of farmland in 55/10=<<55/10=5.5>>5.5 days. How many days would it take him to mow his 30 acres of grassland? ** At a rate of 12 acres per day, he can mow his 30 acres of grassland in 30/12=2.5 days. How many days would it take him to mow and plow his land? ** Altogether, it would take him 5.5+2.5=<<5.5+2.5=8>>8 days to completely mow and plow his land. #### 8 Darla needs to pay $4/watt of electricity for 300 watts of electricity, plus a $150 late fee. How much does she pay in total? How much does Darla pay for electricity? ** First find the total cost of the electricity: $4/watt * 300 watts = $<<4*300=1200>>1200 How much does Darla pay in total? ** Then add the late fee: $1200 + $150 = $<<1200+150=1350>>1350 #### 1350 Building one birdhouse requires 7 planks and 20 nails. If 1 nail costs $0.05, and one plank costs $3, what is the cost, in dollars, to build 4 birdhouses? How much do the planks cost? ** The cost of the planks for one birdhouse is 7 * 3 = $<<7*3=21>>21. How much do the nails cost? ** And the nails are a cost of 20 * 0.05 = $<<20*0.05=1>>1 for each birdhouse. How much does it cost to build one birdhouse? ** So to build one birdhouse one will need 21 + 1 = $<<21+1=22>>22. How much does it cost to build 4 birdhouses? ** So the cost of building 4 birdhouses is at 4 * 22 = $<<4*22=88>>88. #### 88 The Donaldsons pay $15 per hour for babysitting. The Merck family pays $18 per hour and the Hille family pays $20 per hour for babysitting. Layla babysat for the Donaldsons for 7 hours, the Merck family for 6 hours and the Hille family for 3 hours. How many dollars did Layla earn babysitting? How many dollars did Layla earn from the Donaldsons? ** Donaldsons pay $15/hour = 15*7 = $<<15*7=105>>105. How many dollars did Layla earn from the Mercks? ** The Mercks pay $18/hour = 18*6 = $<<18*6=108>>108. How many dollars did Layla earn from the Hilles? ** The Hilles pay $20/hour = 20*3 = <<20*3=60>>60. How many dollars did Layla earn babysitting? ** The total amount Layla earned is 105 + 108 + 60 = <<105+108+60=273>>273. How many dollars did Layla earn babysitting? ** Layla earned $273 for babysitting. #### 273