Cindy can jump rope for 12 minutes before tripping up on the ropes. Betsy can jump rope half as long as Cindy before tripping up, while Tina can jump three times as long as Betsy. How many more minutes can Tina jump rope than Cindy?

How long does Betsy jump rope? ** Betsy jumps half as long as Cindy, who jumps for 12 minutes so Betsy jumps 12/2 =

<<12/2=6>>6 minutes How long does Tina jump rope? ** Tina jumps three times as long as Betsy, who jumps for 6 minutes so Tina jumps 3*6 = <<3*6=18>>18 minutes How many more minutes can Tina jump rope than Cindy? ** Tina can jump for 18 minutes and Cindy and jump for 12 minutes so Tina can jump 18-12 = <<18-12=6>>6 minutes longer #### 6 James buys 3 shirts for $60. There is a 40% off sale. How much did he pay per shirt after the discount? How much did James get off? ** He got a 60*.4=$<<60*.4=24>>24 discount How much did James pay? ** So he paid 60-24=$<<60-24=36>>36 for the shirts How much did James pay per shirt? ** That means he paid 36/3=$<<36/3=12>>12 per shirt #### 12 Barbeck has two times as many guitars as Steve, but Davey has three times as many guitars as Barbeck. If there are 27 guitars altogether, how many guitars does Davey have? Define a variable ** Let x = the number of guitars Steve has. How many guitars does Barbeck and Davey have? ** Barbeck has 2x guitars, and Davey has 3 * 2x = 6x guitars. Write an equation ** 2x + 6x + x = 27 Combine like terms ** 9x = 27 How many guitars does Steve have? ** x = 27 / 9 = <<27/9=3>>3 so Steve has 3 guitars. How many guitars does Barbeck have? ** Barbeck has 2 * 3 = <<2*3=6>>6 guitars. How many guitars does Davey have? ** And Davey has 3 * 6 = <<3*6=18>>18 guitars. #### 18 At his craftwork store, Howard has a collection of 70 wooden bowls where he rewards two to his customers for every 10 they buy. If he had 20 customers that day, half of whom bought 20 bowls each, calculate the number of bowls remaining in the rewards collection. How many bowls did the 10 customers buy? ** Half of the 20 customers, which is 1/2*20=10 bought 20 bowls each, receiving 2 for every 10. How many reward bowls did the 10 customers receive? ** The total number of reward bowls each customer who bought 20 bowls received is 2+2=<<2+2=4>>4 How many reward bowls did Howard give away? ** If 10 customers bought 20 bowls, Howard gave away 4*10=<<4*10=40>>40 bowls as rewards. How many reward bowls remained? ** The total number of reward bowls that remained is 70-40=<<70-40=30>>30 #### 30 Jackie walks 2 miles each day while Jessie walks 1.5 miles each day. How many more miles, in all, does Jackie walk than Jessie walk in 6 days? How many more miles does Jackie walk than Jessie? ** Jackie walks 2 - 1.5 = <<2-1.5=0.5>>0.5 miles more each day than Jessie. How many more miles does Jackie walk than Jessie? ** So in 6 days, Jakie walks 0.5 x 6 = <<0.5*6=3>>3 miles more than Jessie. #### 3 Harper needs to buy teacher appreciation gifts for her children’s teachers. Her son has 3 different teachers and her daughter has 4. If she spent $70 on gifts, how much did each gift cost? How many teachers do they have? ** Her son has 3 teachers and her daughter has 4, so together they have 3+4 = <<3+4=7>>7 teachers How much did each gift cost? ** Harper has already spent $70 on 7 gifts, so she spent $70/7 = $<<70/7=10>>10 per gift #### 10 Jacob's water tank can hold up to 50 liters of water. Jacob collects water from the river and rain to fill his water tank. He can collect 800 milliliters of water from the rain and 1700 milliliters of water from the river every day. How many days does Jacob need to fill up his water tank? How many milliliters of water does Jacob collect every day? ** Jacob collects 800+1700= <<800+1700=2500>>2500 milliliters of water from the river and rain every day. How many liters of water does Jacob's water tank hold? ** Since 1 liter is equal to 1000 milliliters, then 50 liters is equal to 50x1000= <<50*1000=50000>>50,000 milliliters of water. How many days does Jacob need to fill up his water tank? ** Therefore Jacob needs 50,000/2500= <<50000/2500=20>>20 days to fill his water tank. #### 20 Joshua packs 12 bottles in each crate. He has a total of 130 bottles and 10 crates. How many bottles will not be placed in a crate? How many bottles will be placed in the crates? ** A total of 12 x 10 = <<12*10=120>>120 bottles will be placed in 10 crates. How many bottles will not be placed in a crate? ** Therefore, 130 - 120 = <<130-120=10>>10 bottles will not be placed in a crate. #### 10 Carly is making burgers for a neighborhood BBQ. Each burger needs to be cooked for 4 minutes on each side. Carly can fit 5 burgers on the grill at once. If half her 30 guests want 2 burgers and the other half each want 1, how long will it take Carly to cook all the burgers? How many guests are there? ** First find half the number of guests at Carly's party: 30 guests / 2 = <<30/2=15>>15 guests How many burgers do half the guests want? ** Then multiply that number by 2 for the number of burgers half the guests want: 15 guests * 2 burgers/guest = <<15*2=30>>30 burgers How many burgers do all the guests want? ** Then add the 15 burgers for the 15 guests who only want 1 to find the total number of burgers: 30 burgers + 15 burgers = 45 burgers How many batches does Carly cook? ** Then divide the total number of burgers by the number of burgers Carly can cook at once to find the number of batches she cooks: 45 burgers / 5 burgers/batch = <<45/5=9>>9 batches How long does each burger take to cook? ** Then multiply the number of sides per burger by the cooking time per side to find each burger's total cook time: 4 minutes/side * 2 sides = <<4*2=8>>8 minutes How long will it take Carly to cook all the burgers? ** Finally, multiply each batch's cook time by the number of batches to find the total cook time: 8 minutes/batch * 9 batches = <<8*9=72>>72 minutes #### 72 Miley bought two cellphones for her parents. Each cellphone costs $800 but, since she is buying two units, she will receive a 5% discount for the total cost. How much did Miley pay? How much do the cellphones cost? ** Two cellphones cost $800 x 2 = $<<800*2=1600>>1600. How much is the 5% discount? ** The 5% discount amounts to $1600 x 5/100 = $<<1600*5/100=80>>80. How much did Miley pay? ** So Miley paid $1600 - $80 = $<<1600-80=1520>>1520. #### 1520