Jamal works at a library shelving books. He has a cart full of books to put away in different sections. In the history section, he shelves 12 books. In the fiction section, he shelves 19 books. In the children’s section, he shelves 8 books but finds 4 that were left in the wrong place that he adds to his cart to shelve elsewhere. He still has 16 books to shelve. How many books did he start with in the cart?
Jamal started with B books in the cart.
He had B - 12 books after the history section.
He had B - 12 - 19 = B - 31 books after the fiction section.
He had B - 31 - 8 + 4 = B - 35 books after the children’s section.
He still had B - 35 = 16 books to shelve.
Thus, he started with B = 16 + 35 =
<<16+35=51>>51 books in the cart. #### 51 Bill and Ted head to the river to throw stuff into the water. Bill throws 6 more sticks into the river than Ted does, but Ted tosses twice as many rocks into the river as Bill. If Ted tosses 10 sticks and 10 rocks into the river, how many objects did Bill toss into the river? Bill throws 10 + 6 = <<10+6=16>>16 sticks into the river. Bill throws 10 / 2 = <<10/2=5>>5 rocks into the river. Bill throws 16 + 5 = <<16+5=21>>21 objects in total into the river. #### 21 An internet provider gives a 5% discount if the customer pays before the 25th day of the month. If the monthly internet rate is $50, how much did the customer pay in all for 4 months if he paid every 25th of the month? The 5% discount amounts to $50 x 5/100 = $<<50*5/100=2.50>>2.50. So the total discount given to the customer for 4 months was $2.50 x 4 = $<<2.5*4=10>>10. The customer was supposed to pay $50 x 4 = $<<50*4=200>>200 in all for 4 months without discount. Since the customer is entitled to the discount, then he only paid a total of $200 - $10 = $<<200-10=190>>190 for 4 months. #### 190 Jerome bought 5 new toy cars last month. This month he bought twice as many so that he has 40 toy cars now. How many toy cars did Jerome have originally? Jerome bought 5 x 2 = <<5*2=10>>10 toy cars this month. So he bought a total of 5 + 10 = <<5+10=15>>15 toy cars. Therefore, Jerome had 40 - 15 = <<40-15=25>>25 toy cars originally. #### 25 Olivia's insurance premium starts out at $50/month. It goes up 10% for every accident and $5/month for every ticket. If she gets in one accident and gets 3 tickets, what's her new insurance premium? First find the increase due to the accident: $50 * 10% = $<<50*10*.01=5>>5 Then find the total increase due to the tickets: $5/ticket * 3 tickets = $<<5*3=15>>15 Then add both increases to the base price to find the new price: $50 + $5 + $15 = $<<50+5+15=70>>70 #### 70 A curry house sells curries that have varying levels of spice. Recently, a lot of the customers have been ordering very mild curries and the chefs have been having to throw away some wasted ingredients. To reduce cost and food wastage, the curry house starts monitoring how many ingredients are actually being used and changes their spending accordingly. The curry house needs 3 peppers for very spicy curries, 2 peppers for spicy curries, and only 1 pepper for mild curries. After adjusting their purchasing, the curry house now buys the exact amount of peppers they need. Previously, the curry house was buying enough peppers for 30 very spicy curries, 30 spicy curries, and 10 mild curries. They now buy enough peppers for 15 spicy curries and 90 mild curries. They no longer sell very spicy curries. How many fewer peppers does the curry house now buy? The curry house previously bought 3 peppers per very spicy curry * 30 very spicy curries = <<3*30=90>>90 peppers for very spicy curries. They also bought 2 peppers per spicy curry * 30 spicy curries = <<2*30=60>>60 peppers for spicy curries. They also bought 1 pepper per mild curry * 10 mild curries = <<1*10=10>>10 peppers for mild curries. So they were previously buying 90 + 60 + 10 = <<90+60+10=160>>160 peppers. They now buy 2 peppers per spicy curry * 15 spicy curries = <<2*15=30>>30 peppers for spicy curries. They also now buy 1 pepper per mild curry * 90 mild curries = <<1*90=90>>90 peppers for mild curries. So they now buy 30 + 90 = <<30+90=120>>120 peppers. This is a difference of 160 peppers bought originally - 120 peppers bought now = <<160-120=40>>40 peppers. #### 40 John decides to trade in his stereo system. His old system cost 250 dollars and he got 80% of the value for it. He then buys a system that costs $600 that he gets a 25% discount on. How much money came out of his pocket? He got 250*.8=$<<250*.8=200>>200 He gets a 600*.25=$<<600*.25=150>>150 discount on the second system So it cost 600-150=$<<600-150=450>>450 So he was 450-200=$<<450-200=250>>250 out of pocket #### 250 Rubert has 4 times the number of candies James has. James has 3 times the number of candies Adam has. If Adam has 6 candies, how many candies do the three of them have in total? James has 3 * 6 candies = <<3*6=18>>18 candies. Rubert has 4 * 18 candies = <<4*18=72>>72 candies. So, the three of them have 6 candies + 18 candies + 72 candies = <<6+18+72=96>>96 candies. #### 96 What is fifteen more than a quarter of 48? A quarter of 48 is 48/4=<<48/4=12>>12. The number is 12+15=<<12+15=27>>27. #### 27 Paulo wants to get a burger meal that costs $6. Aside from that, he also wants to get a soda which costs 1/3 as much as the burger meal. While on the counter, Jeremy asked Paulo to get him 2 of each item Paulo is going to get. How much will they be charged for their orders combined? They are to order a total of 3 burger meals and 3 sodas for Paulo and Jeremy. The cost of a soda is $6/3 = $<<6/3=2>>2. So, the 3 sodas will amount to $2/soda x 3 sodas = $<<2*3=6>>6. The 3 burger meals will amount to $6/burger x 3 burgers = $<<6*3=18>>18. Hence, the total cost for their orders is $6 + $18 = $<<6+18=24>>24. #### 24