Leonard is 4 years younger than Nina who is half as old as Jerome. If the sum of their ages is 36, what is Leonard's age?
Let x be the age of Nina.
So, Leonard's age is x - 4.
And Jerome's age is 2x.
Since the sum of their ages is 36, then the equation is x + x - 4 + 2x = 36.
By combining like terms, the equation becomes 4x = 40.
So the value of x which represents the age of Nina is x = 40/4 =
<<40/4=10>>10. Therefore, Leonard is 10 - 4 = <<10-4=6>>6 years old. #### 6 James takes 5 oranges and breaks each orange into 8 pieces. He splits the pieces between 4 people. If an orange has 80 calories how many calories does each person get? He makes 5*8=<<5*8=40>>40 pieces So each person gets 40/4=<<40/4=10>>10 pieces That means each person eats 10/8=<<10/8=1.25>>1.25 of an orange So each person eats 80*1.25=<<80*1.25=100>>100 calories of orange #### 100 Tim drinks 2 bottles that are each 1.5 quarts and an additional 20 ounces a day. How much water does he drink a week? The bottles are 1.5*32=<<1.5*32=48>>48 ounces So he drinks 48*2=<<48*2=96>>96 ounces from the bottles So in total he drank 96+20=<<96+20=116>>116 ounces a day 116*7=<<116*7=812>>812 ounces a week #### 812 Jebb buys $50 worth of food at a restaurant with a service fee of 12%. After paying, he gives a $5 tip. How much money did he spend at the restaurant? Jebb paid $50 x 12/100 = $<<50*12/100=6>>6 for service fee. He paid $50 + $6 = $<<50+6=56>>56 for the food and the service fee. The total cost of everything is $56 + $5 = $<<56+5=61>>61. #### 61 Tony decided to rent a small cottage. The master bedroom and bath totaled 500 sq ft. The 2 guest bedrooms were 200 sq ft each. And the kitchen, guest bath and living area totaled 600 sq ft. If Tony spends $3,000 a month on rent, how much money is he spending per sq ft of house? 2 guest bedrooms are 200 sq ft each for a total of 2*200 = <<2*200=400>>400 sq ft The master suite has 500 sq ft, the guest rooms have 400 sq ft and the rest of the house is 600 sq ft for a total of 500+400+600 = <<500+400+600=1500>>1,500 sq ft The rent is $3,000 for 1,500 sq ft of house so 3000/1500 = $<<3000/1500=2>>2 per sq ft of house #### 2 Shawna has 7 acorns. Sheila has 5 times as many acorns as Shawna, but 3 fewer acorns than Danny. How many acorns do they have altogether? Sheila has 7 x 5 = <<7*5=35>>35 acorns. Danny has 35 + 3 = <<35+3=38>>38 acorns. Altogether, they have 7 + 35 + 38 = <<7+35+38=80>>80 acorns #### 80 There were 600 cookies in a box. Nicole ate 2/5 of the total number of cookies, while Eduardo ate 3/5 of the remaining amount. What percentage of the original cookies remained? Nicole ate 2/5 of the total number of cookies, which is 2/5*600= <<2/5*600=240>>240 The total number of cookies that remained in the box after Nicole ate 240 is 600-240 = <<600-240=360>>360 Eduardo then ate 3/5 of the remaining cookies, a total of 3/5*360 = <<3/5*360=216>>216 cookies The total number of cookies that remained after Eduardo ate 216 is 360 - 216 = <<360-216=144>>144 The percentage of the cookies that remained out of the original amount is 144/600*100% = 24% #### 24 Graeme is weighing cookies to see how many he can fit in his box. His box can only hold 40 pounds of cookies. If each cookie weighs 2 ounces, how many cookies can he fit in the box? First find how many cookies are in a pound. 16 ounces per pound / 2 ounces/cookie = 8 cookies per pound The box can hold 40 pounds, so 40 pounds * 8 cookies per pound = <<40*8=320>>320 cookies. #### 320 James has five huskies, two pitbulls and four golden retrievers, all female. They became pregnant and each golden retriever had two more pups than each husky. If the huskies and pitbulls had 3 pups each, How many more pups than adult dogs are there in total? There are 5+2 = <<5+2=7>>7 huskies and pitbulls 7 huskies and pitbulls had 3 pups each for a total of 3*7 = <<7*3=21>>21 pups Each golden retriever had 2 more pups each than the huskies who had 3 each so each golden retriever had 3+2 = <<3+2=5>>5 pups 4 golden retrievers had 5 pups each for a total of 20 pups There are a total of 21+20 = <<21+20=41>>41 pups There are a total of 5+2+4 = <<5+2+4=11>>11 adult dogs There are 41-11 = <<41-11=30>>30 more pups than adult dogs #### 30 Raul had $87 to spare so he decided to go to the bookshop. Raul bought 8 comics, each of which cost $4. How much money does Raul have left? He spent 8 comics × $4/comic = $<<8*4=32>>32 on comics. Raul has $87 - $32 = $<<87-32=55>>55 left. #### 55