Dave breaks 2 guitar strings per night when playing live. If he performs 6 shows a week for 12 weeks, how many guitar strings will he need to replace?

He breaks 2 strings a night for 6 nights for a total of 2*6 =

<<2*6=12>>12 broken strings He breaks 12 strings per week so over 12 weeks, he will need to replace 12*12 = <<12*12=144>>144 guitar strings #### 144 Peter is buying a set of glasses. They cost $3 for small glasses and $5 for large ones. He has $50. If he buys 8 small ones and leaves with $1 in change, how many large ones did he buy? He spent $49 on glasses because 50-49=<<50-49=1>>1 He spent $24 on small glasses because 8x3=<<8*3=24>>24 He spent $25 on large glasses because 49-24=<<49-24=25>>25 He bought 5 large glasses because 25/5=<<25/5=5>>5 #### 5 Mark has the option of getting a $300 lens with a 20% discount or a $220 lens. How much money does he save by buying the cheaper lens? The discount is worth 300*.2=$<<300*.2=60>>60 So the lens cost 300-60=$<<300-60=240>>240 That means he saves 240-220=$<<240-220=20>>20 by buying the cheaper lens #### 20 Isabelle’s parents bought a new television for $480. The seller gives them a 5% discount. They pay a first installment of $150 and will pay the rest in 3 monthly installments. What is the amount of a monthly payment? The television discount is $480 x 5/100 = $<<480*5/100=24>>24. So, the television price is $480 - $24 = $<<480-24=456>>456. The outstanding balance is $456 – $150 = $<<456-150=306>>306 The monthly payment is $306 / 3 = $<<306/3=102>>102 #### 102 A TV show has been going on for 14 years. Out of those 14 years, 8 seasons had 15 episodes, 4 seasons had 20 episodes, and 2 seasons had 12 episodes. What is the average number of episodes per year? 8 seasons with 15 episodes had 8 x 15 = <<8*15=120>>120 episodes 4 seasons with 20 episodes had 4 x 20 = <<4*20=80>>80 episodes 2 seasons with 12 episodes had 2 x 12 = <<2*12=24>>24 episodes All together, there have been 120 + 80 + 24 = <<120+80+24=224>>224 episodes. The average number of episodes a year is 224/14 = <<224/14=16>>16 episodes #### 16 Cordelia is dyeing her hair red. To get the color she wants, she first has to bleach her dark brown hair to blonde, and then she has to apply the dye. The whole process will take 9 hours. Dyeing takes twice as long as bleaching. How many hours will it take Cordelia to bleach her hair? Let H be the number of hours it takes Cordelia to bleach her hair. A dye treatment takes twice as long, so it takes 2H. Thus, bleaching and dying will take H + 2H = 3H = 9 hours. Therefore, it will take Cordelia H = 9 / 3 = <<9/3=3>>3 hours to bleach her hair. #### 3 Of the 600 students at River Falls High School, 3/4 of them play tennis. Of those that play tennis, 60% of them also play hockey. How many students play both hockey and tennis? 3/4 of the students at River Falls High School play tennis, a total of 3/4*600=<<3/4*600=450>>450 students Of those that play tennis, 60% of them also play hockey, meaning 60/100*450=<<60/100*450=270>>270 students play hockey and tennis. #### 270 Archer caught eight fish from the lake to sell in the market. When he reached the market, he sold the fish faster than he had anticipated and decided to go back to the lake and catch more fish. He caught 12 more fish in the second round than he had caught earlier. The demand was even greater, and he had to close the day by catching 60% more fish than the number he had caught in the second round and sold all of them in the market. How many fish did he catch that day? He caught 12 more fish in the second round than he had caught earlier, a total of 12+8=<<12+8=20>>20 fish. The total number of fish he caught in the two rounds is 20+8=<<20+8=28>>28 In the third round, Archer caught 60/100*20=<<60/100*20=12>>12 fish which were 60% more fish than the number he had caught in the second round. This means he caught a total of 12+20 = <<12+20=32>>32 fish Archer caught a total of 28+32=<<28+32=60>>60 fish on that day. #### 60 A luxury perfume costs $1200. The store owner decided to increase its price by 10% so that he could earn more profit. Few weeks had past but the perfume was still not sold. So, the owner decided to lower the price by 15%. By how much was the final price lower than the original price? There was a $1200 x 10/100 = $<<1200*10/100=120>>120 increase of the original price. So, the perfume was priced for $1200 + $120 = $<<1200+120=1320>>1320. Then, 15% of the new price is $1320 x 15/100 = $<<1320*15/100=198>>198. So, the final price is now $1320 - $198 = $<<1320-198=1122>>1122. Therefore, the final price is $1200 - $1122 = $<<1200-1122=78>>78 lower than the original price. #### 78 Simon, Gerry, and Micky want to have a race with handmade miniature rafts. Simon's raft needs 36 sticks, Gerry's raft needs two-thirds of the number of sticks that Simon needs, and Micky's raft needs 9 sticks more than Simon and Gerry's rafts combined. How many sticks do the three boys need to collect in total? Gerry's raft needs (36/3) x 2 = 12 x 2 = 24 sticks Simon and Gerry's rafts need 36 + 24 = <<36+24=60>>60 sticks Micky's raft needs 60 + 9 = <<60+9=69>>69 sticks The boys need to collect 60 + 69 = <<60+69=129>>129 sticks in total. #### 129