Orlan gave one-fourth of his 20-meter rope to Allan. He then gave two-thirds of the remaining to Jack. How many meters of rope is left to Orlan?

Orlan gave Allan 20 x 1/4 =

<<20*1/4=5>>5 meters of rope. So he had 20 - 5 = <<20-5=15>>15 meters left. Then he gave 15 x 2/3 = <<15*2/3=10>>10 meters of the rope to Jack. Therefore, Orlan is left with 15 - 10 = <<15-10=5>>5 meters of rope. #### 5 Willow’s daughter had a slumber party with 3 of her friends. For breakfast, they wanted pancakes. Willow’s pancake recipe makes 1 serving of 4 pancakes. Each of the girls wanted a serving and a half of pancakes. Willow’s son wanted 3 servings of pancakes. How many single pancakes will Willow make for the girls and her son? The daughter and her 3 friends each want 1.5 servings of pancakes so that’s 4*1.5 = <<1.5*4=6>>6 servings of pancakes Willow’s son wants 3 servings of pancakes and the girls want 6 so that’s 3+6 = <<3+6=9>>9 servings of pancakes Each serving makes 4 pancakes and Willow needs to make 9 servings for a total of 4*9 = <<4*9=36>>36 pancakes #### 36 Marcus wants to buy a new pair of shoes. He decided to pay not more than $130 for them. He found a pair for $120, on which he got a discount of 30%. How much money will he manage to save by buying these shoes and not spending the assumed maximum amount? The discount on the shoes Marcus found is 120 * 30/100 = $<<120*30/100=36>>36. That means he only had to pay 120 - 36 = $<<120-36=84>>84. So Marcus was able to save 130 - 84 = $<<130-84=46>>46. #### 46 Sebastian plays drums for percussion in an orchestra. He sits next to the brass section where four people play trombone, two play trumpet, and one plays a French horn. In front of them are the strings section with three violinists, a cellist, and a contrabassist. Next to the strings are a trio of clarinets and a quartet of flute players in the woodwinds section. The maestro conducts them all. How many people are in the orchestra? Sebastian in the percussion section makes <<1=1>>1 person. The brass section has 4 + 2 + 1 = <<4+2+1=7>>7 people. The strings section has 3 + 1 + 1 = <<3+1+1=5>>5 people. The woodwinds section has 3 + 4 = <<3+4=7>>7 people. The maestro is 1 person. Thus, the orchestra has 1 + 7 + 5 + 7 + 1 = <<1+7+5+7+1=21>>21 people in it. #### 21 Three local dance studios have 376 students. The first two have 110 and 135 students. How many students does the third studio have? The first two studios have 110 + 135 = <<110+135=245>>245 students. The remaining studio has 376 – 245 = <<376-245=131>>131 students. #### 131 Kendy made 2 online bank transactions. She transferred $60 to her mom and half that amount to her sister. As a result, her account now has $100 left in it. How much money was in the account before the transfer? Kendy transferred $60 x 1/2 = $<<60*1/2=30>>30 to her sister. So, She transferred a total of $60 + $30 = $<<60+30=90>>90. Therefore, Kendy has $100 + $90 = $<<100+90=190>>190 in the account before the transfer. #### 190 Marta works on her grandparent's farm to raise money for a new phone. So far, she has collected $240. For every hour she works, she receives $10. Her grandmother often gives her tips, and she has collected $50 in tips in total. How many hours has Marta worked on the farm so far? Ignoring tips, Marta earned $240 - $50 = $<<240-50=190>>190. Therefore, she has worked 190 / 10 = <<190/10=19>>19 hours. #### 19 Jason is counting the number of cars that drive by his window. He counted four times as many green cars as red cars, and 6 more red cars than purple cars. If he counted 312 cars total, how many of them were purple? Let g be the number of green cars, r be the number of red cars, and p be the number of purple cars. We know that g + r + p = 315, r = p + 6, and g = 4r Substitute the second equation into the third equation to get: g = 4r = 4(p + 6) = 4p + 24 Now substitute the equations that express g and r in terms of p in the equation for the total number of cars: 4p + 24 + p + 6 + p = 315 Now combine like terms to get 6p + 30 = 312 Now subtract 30 from both sides to get 6p = 282 Now divide both sides by 6 to get p = 47 #### 47 Brittany, Alex, and Jamy all share 600 marbles divided between them in the ratio 3:5:7. If Brittany gives Alex half of her marbles, what's the total number of marbles that Alex has? The total ratio representing the number of marbles is 3+5 +7 = <<3+5+7=15>>15 From the ratio, the fraction representing the number of marbles that Brittany has is 3/15, which is equal to 3/15*600 = <<3/15*600=120>>120 marbles. Alex has 5/15*600 = <<5/15*600=200>>200 marbles. If Brittany gives half of her marbles to Alex, Alex receives 1/2*120 = 60 marbles. After receiving 60 marbles from Brittany, Alex has 200+60 = <<200+60=260>>260 marbles. #### 260 Connor wanted to order some new books to read. The website was offering free shipping over $50.00. They also had a deal that when you buy 4 books; the first two were 25% off. Book 1 cost 13.00 and Book 2 cost 15.00. Book 3 & 4 were both $10.00 each. How much more money did Connor need to spend to receive free shipping? Book 1 was $12.50 and book 2 was $15.00 so 13.00 +15.00 = $28.00 He was buying 4 books, so these 2 were 25% off so 28.00 * .25 = $7.00 These two books came out to 28-7 = $<<28-7=21.00>>21.00 Books 3 & 4 were both $10 each so 2*10 = $20.00 When you add all 4 books together, 21+20 = $<<21+20=41.00>>41.00 To get free shipping he would need to spend 50-41 = $<<50-41=9.00>>9.00 more on books #### 9