Nida has 50 chocolates in which some are in 3 filled boxes and 5 pieces are not in a box. Her friend brought 25 pieces of chocolates. If all chocolates must be placed in a box, how many more boxes do they need?

There are 50 - 5 =

<<50-5=45>>45 chocolates in three boxes. So, each box is filled with 45/3 = <<45/3=15>>15 chocolates. 5 + 25 = <<5+25=30>>30 chocolates are needed to be placed in boxes. Hence, they needed 30/15 = <<30/15=2>>2 boxes for the 30 chocolates. #### 2 There are 24 students in the class. One-third had their school portraits taken before lunch. After lunch, but before gym class, 10 additional students had their portraits taken. After gym class, how many students have not yet had their picture taken? Before lunch, 24/3=<<24/3=8>>8 students were photographed. Then 8+10=<<8+10=18>>18 have been photographed by gym class. So 24-18=<<24-18=6>>6 remain. #### 6 A captain steers his ship 100 miles north on the first day of their journey. On the second day, he sails to the east three times as far as the distance as he covered on the first day. On the third day, the ship travels further east for 110 more miles than the distance it covered on the second day. What is the total distance the ship has traveled in the three days? If the ship traveled 100 miles to the north, it sailed for a distance of 3 * 100 miles = 300 miles to the east on the second day. On the third day, the sheep sailed for 300 miles + 110 miles = <<300+110=410>>410 miles. The distance covered by the ship in the three days is 410 miles + 300 miles + 100 miles = <<410+300+100=810>>810 miles #### 810 Gerald thought it would be funny to trick his coworker, who's allergic to peanuts, into eating a peanut butter cookie. When his coworker goes into anaphylactic shock and is taken to the hospital, Gerald is arrested. The judge sentences Gerald to 3 months for assault and 2 years for poisoning, then extends his sentence by 1/3 since this is Gerald's third offense. How many months does Gerald spend in jail? First convert the 2-year sentence to months: 2 years * 12 months/year = <<2*12=24>>24 months Then add the 3 months for assault: 24 months + 3 months = <<24+3=27>>27 months Then find how long the 1/3 extension is: 27 months / 3 = <<27/3=9>>9 months Finally, add up the three lengths of time to find the total sentence length: 27 months + 9 months = <<27+9=36>>36 months #### 36 Five food companies sponsored a local food bank. Foster Farms donated 45 dressed chickens; American Summits donated twice the number of bottled water than the number of dressed chicken donated by Foster Farms; Hormel donated three times the number of dressed chickens that Foster Farms donated; Boudin Butchers donated one-third of the number of dressed chickens that Hormel donated; Del Monte Foods donated 30 fewer bottles of water than American Summits. How many food items did the companies donate in total? American Summits donated 45 x 2 = <<45*2=90>>90 bottled waters. Hormel donated 45 x 3 = <<45*3=135>>135 spams. Boudin Bakery donated 135 x 1/3 = <<135*1/3=45>>45 sourdoughs. Del Monte Foods donated 90 - 30 = <<90-30=60>>60 canned fruits. Therefore, a total of 45 + 90 + 135 + 45 + 60 = <<45+90+135+45+60=375>>375 different food. #### 375 Tom's cat needs an expensive surgery. He has had pet insurance for 24 months that cost $20 per month. The procedure cost $5000 but the insurance covers all but 20% of this. How much money did he save by having insurance? The insurance cost 24*20=$<<24*20=480>>480 With insurance he pays 5000*.2=$<<5000*.2=1000>>1000 for the procedure So he paid 1000+480=$<<1000+480=1480>>1480 So he saved 5000-1480=$<<5000-1480=3520>>3520 #### 3520 Miriam is trying to exercise more and figures if she counts her exercises it will be encouraging to see her numbers go up. On Monday she does 5 push-ups. On Tuesday she does 7 push-ups. On Wednesday she does twice as many push-ups as the day before. On Thursday she does half the number of total pushups she already did that week. Finally, on Friday she does as many pushups as the total number she did over the previous four days. How many pushups does Miriam do on Friday? On Monday Miriam does 5 push-ups + 7 push-ups on Tuesday = <<5+7=12>>12 push-ups on both days. On Wednesday she does twice as many push-ups as she did on Tuesday, 7 x 2 = <<7*2=14>>14 push-ups on Wednesday. Over the first 3 days, she did a total of 14 + 12 = <<14+12=26>>26 pushups On Thursday Miriam did 1/2 the same number of total pushups she had already done that week, so she did 1/2 x 26 = <<1/2*26=13>>13 pushups on Thursday. On Friday she does as many push-ups as the total of what she had done over the previous four days, so she did 5 + 7 + 14 + 13 = <<5+7+14+13=39>>39 push-ups on Friday. #### 39 Lisa makes breakfast for her family every morning, Monday through Friday. She makes 2 eggs for each of her 4 children and 3 eggs for her husband. Then, she makes 2 eggs for herself. How many eggs does Lisa cook for her family for breakfast in a year? Lisa makes 2 eggs/child x 4 children = 8 eggs for her children. She makes 3 eggs for her husband + 2 for herself + 8 for her children = <<3+2+8=13>>13 eggs. Lisa makes breakfast 5 days a week for 52 weeks a year, so 5 * 52 = <<5*52=260>>260 breakfasts. So Lisa makes 13 eggs/breakfast x 260 breakfasts = <<13*260=3380>>3,380 eggs. #### 3,380 Joseph invested $1000 into a hedge fund. The fund promised a yearly interest rate of 10%. If he deposited an additional $100 every month into the account to add to his initial investment of $1000, how much money will he have in the fund after two years? For the first year, Joseph will have invested $1000 + ($100 * 12) = $<<1000+100*12=2200>>2200. The interest calculated for the first year will be $2200 * 10% = $<<2200*10*.01=220>>220. The total value of the investment for the first year will be $2200 + $220 = $<<2200+220=2420>>2420. For the second year, the total invested will be $2420 + ($100 * 12) = $<<2420+100*12=3620>>3620. The interest calculated after the second year will be $3620 * 10% = $<<3620*10*.01=362>>362. Therefore, Joseph's investment in the mutual fund will be worth $3620 + $362 = $<<3620+362=3982>>3982. #### 3982 Harry needs to buy 5 spellbooks that each cost 5 gold, three potion kits that each cost 20 silver, and one owl that costs 28 gold. There are 9 silver to a gold. How much will Harry pay total, in silvers? First find the total cost of the spellbooks by multiplying the price per book by the number of books: 5 books * 5 gold/book = <<5*5=25>>25 gold Then add that amount to the cost of the owl: 25 gold + 28 gold = <<25+28=53>>53 gold Now multiply that number by the conversion rate between gold and silver: 53 gold * 9 silver/gold = <<53*9=477>>477 silver Now find the total cost of the potion kits by multiplying the price per kit by the number of kit: 3 kits * 20 silver/kit = <<3*20=60>>60 silver Now add that amount to the cost of the books and owl to find Harry's total spending: 60 silver + 477 silver = <<60+477=537>>537 silver #### 537