The lights in Malcolm’s house are flickering, and he hopes that replacing all of his white lights with colored lights will make it stop. He buys 12 red lights, 3 times as many blue lights, and 6 green lights. If he still has 5 colored lights left to buy, how many white lights did Malcolm have initially?
Malcolm has bought 12 * 3 =
<<12*3=36>>36 blue lights. This means he has bought a total of 12 + 36 + 6 = <<12+36+6=54>>54 colored lights. If he still needs to buy more lights, then he must have initially had 54 + 5 = <<54+5=59>>59 white lights. #### 59 Johnny is buying planks of wood to build some tables. Each table needs a plank of wood for each of the legs and 5 planks of wood for the surface. If Johnny wants to build 5 tables, how many planks of wood does he need? Each table needs 1 plank of wood * 4 legs = <<1*4=4>>4 planks of wood for the legs. This means each table needs 4 planks of wood for legs + 5 planks of wood for the surface = <<4+5=9>>9 planks of wood. To build 5 tables, Johnny will therefore need 9 planks of wood * 5 tables = <<9*5=45>>45 planks of wood. #### 45 Loris needs three more books to have the same number as Lamont, who has twice the number of books Darryl has. If Darryl has 20 books, calculate the total number of books the three have. Since Darryl has 20 books, Lamont, who has twice the number of books Darryl has, has 20*2 = <<20*2=40>>40 books. The total number of books both Darryl and Lamont has is 40+20 = <<40+20=60>>60 books. To have the same number of books as Lamont, Loris needs 3 more books, meaning she has 40-3 = <<40-3=37>>37 books. In total, the three has 60+37= <<60+37=97>>97 books #### 97 During the hot dog eating contest, the 1st compe***** ate 12 hot dogs in 3 minutes. The 2nd compe***** ate twice that amount and the 3rd compe***** ate 25% less than the 2nd compe*****. How many hotdogs did the 3rd compe***** eat? The 2nd compe***** ate twice the amount of the 1st compe*****'s 12 hot dogs So he ate 2*12 = <<2*12=24>>24 hot dogs The 3rd compe***** ate 25% less than the 2nd's 24 hot dogs, which is 24/4 = 6 hot dogs If the 2nd compe***** ate 24 hot dogs, and the 3rd ate 25% less than that, then the 3rd compe***** ate 24 - 6 = <<24-6=18>>18 hot dogs #### 18 The school band is going to a competition. Five members play the flute. There are three times as many members who play the trumpet. There are eight fewer trombone players than trumpeters, and eleven more drummers than trombone players. There are twice as many members that play the clarinet as members that play the flute. Three more members play the French horn than play the trombone. How many seats are needed on the bus? There are 3 trumpets/flute x 5 flutes = <<3*5=15>>15 trumpet players There are 15 players - 8 players = <<15-8=7>>7 trombone players There are 7 players + 11 players = <<7+11=18>>18 drummers. There are 2 clarinets/flute x 5 flutes = 10 clarinet players There are 7 players + 3 players = <<7+3=10>>10 French horn players In total 5 players + 15 players + 7 players + 18 players + 10 players + 10 players = <<5+15+7+18+10+10=65>>65 seats needed. #### 65 Jerry is cutting up wood for his wood-burning stove. Each pine tree makes 80 logs, each maple tree makes 60 logs, and each walnut tree makes 100 logs. If Jerry cuts up 8 pine trees, 3 maple trees, and 4 walnut trees, how many logs does he get? First find the total number of pine logs by multiplying the number of trees by the number of logs per tree: 80 logs/pine * 8 pines = <<80*8=640>>640 logs Then do the same thing for the maple trees: 60 logs/maple * 3 maples = <<60*3=180>>180 logs And do the same thing for the walnut trees: 100 logs/walnut * 4 walnuts = <<100*4=400>>400 logs Finally, add up the number of logs from each type of tree to find the total number: 640 logs + 180 logs + 400 logs = <<640+180+400=1220>>1220 logs #### 1220 Clyde and Grace are building block towers. Grace’s tower is 8 times the size of Clyde’s at 40 inches tall. How many inches taller is Grace’s tower than Clyde’s? Clyde’s tower is 1/8 the size of Grace’s tower or 40 inches / 8 = <<40/8=5>>5 inches tall. Grace’s tower is 40 inches – 5 inches = <<40-5=35>>35 inches taller than Clyde’s. #### 35 A person borrowed an amount of money for a year at an interest rate of 12%. If the total interest is $1500, what was the original borrowed amount? Let X be the price of the borrowed amount. The interest is X*.12 = $1500. So the borrowed amount is X = $1500/.12 = $<<1500/.12=12500>>12500. #### 12500 Benjamin went to McDonald's to buy something for dinner. He bought a salad, a burger, and two packs of fries. He paid in total $15. How much did the burger cost, if one pack of fries was for $2 and the salad was three times that price? Benjamin paid for the fries 2 * 2 = $<<2*2=4>>4. The salad was three times the price of one pack of fries, so it cost 3 * 2 = $<<3*2=6>>6. The cost of the burger was 15 - 6 - 4 = $<<15-6-4=5>>5. #### 5 The total mask production was doubled every month by a company after the outbreak of Coronavirus due to increased demand. If the company produced 3000 masks in March, calculate the total mask production of July. If in March the company produced 3000 masks, in April, after doubling the total mask production, the company produced 3000*2= <<3000*2=6000>>6000 masks. In May, the company doubled its total mask production to 2*6000 = 12000 After doubling the production for June, the company was able to produce 2*12000 = <<2*12000=24000>>24000 By July, the company was producing a total of 2*24000 = <<2*24000=48000>>48000 masks. #### 48000