There are 19 marbles in a bowl, 5 of which are yellow. The remainder are split into blue marbles and red marbles in the ratio 3:4 respectively. How many more red marbles than yellow marbles are there?

5 out of 19 marbles are yellow so the remainder which is 19-5 =

<<19-5=14>>14 marbles are blue and red 14 marbles are split into blue and red in the ratio 3:4 so each "share" is 14/(3+4) = <<14/(3+4)=2>>2 marbles There are 4 "shares" of red marbles which totals to 4*2 = <<4*2=8>>8 red marbles There are 8-5 = <<8-5=3>>3 more red marbles than yellow marbles #### 3 Hannah is at a restaurant. She spends $23 in total on an entree and a dessert. If the entree costs $5 more than the dessert, how much does the entree cost, in dollars? Let D be the cost of the dessert in dollars. The entree costs D+5 dollars D+(D+5)=23 2D+5=23 2D=18 D=<<9=9>>9 The entree costs $<<14=14>>14. #### 14 There are 3 numbers that are consecutive integers. Together they have a sum of 18. What is the largest of the 3 numbers? Let N = smallest number N + 1 = next number N + 2 = largest number N + (N + 1) + (N + 2) = 18 3N + 3 = 18 3N = <<3*5=15>>15 N = <<5=5>>5 The largest number is <<7=7>>7. #### 7 John skateboarded for 10 miles and then walked another 4 miles to the park. He then skated all the way back home. How many miles has John skateboarded in total? John traveled 10 + 4 = <<10+4=14>>14 miles to the park. His round trip would take 14 x 2 = <<14*2=28>>28 miles. If you subtract the 4 miles he walked then John traveled 28 - 4 = <<28-4=24>>24 miles. #### 24 A bead shop sells one set of crystal beads at $9 each and one set of metal beads at $10 each. Nancy buys one set of crystal beads and two sets of metal beads. How much does she spend in all? Two sets of metal beads cost 2 x $10 = $<<2*10=20>>20. Therefore, Nancy spends $9 + $20 = $<<9+20=29>>29 in all. #### 29 In Johnstown, the population is 80 and every single person drives by themselves to work. Each car on a road pollutes 10 pounds of carbon a year. A single bus pollutes 100 pounds of carbon a year. A bus can hold 40 people. The town decides to start running a bus and 25% of the people who used to drive now take the bus. How many fewer pounds of carbon are now emitted per year? The town used to emit 800 pounds of carbon a year because 80 x 10 = <<80*10=800>>800 20 now take the bus because 80 x .25 = <<80*.25=20>>20 60 people still drive because 80 - 20 = <<80-20=60>>60 Those 60 people create 600 pounds of carbon because 60 x 10 = <<60*10=600>>600 The town now emits 700 pounds of carbon because 100 + 600 = <<100+600=700>>700 The town emits 100 fewer pounds of carbon now because 800 - 700 = <<800-700=100>>100 #### 100 Michael has a chicken farm. His chickens increase in number by 150 chickens annually. If the number of chickens on his farm now is 550, how many will he have after 9 years? The number of the increase in chicken after 9 years is 150 * 9 = <<150*9=1350>>1350. So the total number of the chicken in Michael's farm will be 550 + 1350 = <<550+1350=1900>>1900. #### 1900 Blake goes to the grocery store and spends $40 on oranges, $50 on apples, and $60 on mangoes. If he has $300, how much change was he given? The total costs for the fruits is $40 + $50 + $60 = $<<40+50+60=150>>150 The amount of money given as change is $300 - $150 = $<<300-150=150>>150 #### 150 Andy walks 50 meters from his house to school. After school, he comes back to the house and goes to the market. If he walks 140 meters in total, how many meters is the distance between the house and the market? He walks 50m from home to school and walks 50m again from school to house, so he walks 50m + 50m = <<50+50=100>>100 meters If the total distance is 140m, the distance between the house and the market is 140m - 100m = <<140-100=40>>40 meters. #### 40 Miss Davis gave 15 popsicle sticks to each of the 10 groups in her class. How many sticks does she have left if she had 170 popsicle sticks? Miss Davis gave a total of 15 x 10 = <<15*10=150>>150 popsicle sticks to the 10 groups in her class. So, she is left with 170 - 150 = <<170-150=20>>20 sticks. #### 20