Grace is filling her pool in the backyard with a hose that sprays 50 gallons/hour. She waited for 3 hours but the pool wasn't full, so she decides to add another hose that sprays 70 gallons/hour, and after 2 more hours the pool is full. How much water can Grace’s pool contain?
How many gallons did Grace fill the pool with in the first 3 hours? ** In the first 3 hours the pool gets 50 gallons/hour x 3 hours =
<<50*3=150>>150 gallons How many gallons did Grace fill the pool with in the first 3 hours? ** With the addition of the other hose, the pool was filling with a rate of 50 gallons/hour + 70 gallons/hour = <<50+70=120>>120 gallons/hour How many gallons did Grace fill the pool with in the first 3 hours? ** In the next 2 hours with both hoses the pool gets 120 gallons/hour x 2 hours = <<120*2=240>>240 gallons How many gallons can Grace’s pool contain? ** The pool's total capacity is 240 gallons + 150 gallons = <<240+150=390>>390 gallons #### 390 TreShawn's mom needs to order pizza for her son and his two friends. She knows that TreShawn always eats 1/2 a pizza. His friend Michael eats 1/3 of a pizza and his other friend LaMar eats 1/6 of a pizza. How many pizzas does she need to order? How many slices does TreShawn eat? ** Half a pizza is the same as 3/6 of a pizza How many slices does Michael eat? ** 1/3 of a pizza is the same as 2/6 of a pizza How many slices does TreShay, Michael and LaMar eat? ** 3/6 of a pizza plus 2/6 of a pizza plus 1/6 of a pizza equals 6/6 of a pizza. How many pizzas does she need to order? ** Therefore, she needs to buy one pizza because 6/6 equals 1 #### 1 The zoo has 50 new visitors entering the zoo every hour. The zoo is open for 8 hours in one day. If 80% of the total visitors go to the gorilla exhibit, how many visitors go to the gorilla exhibit in one day? How many visitors are there in one day? ** The zoo has 50 * 8 = <<50*8=400>>400 visitors in one day How many visitors go to the gorilla exhibit in one day? ** The number of visitors that go to the gorilla exhibit in one day is 400 * 0.80 = <<400*0.80=320>>320 visitors #### 320 A cobbler can mend 3 pairs of shoes in an hour. From Monday to Thursday, the cobbler works for 8 hours each day, and on Friday, he only works from 8am to 11am. How many pairs of shoes can the cobbler mend in a week? How many pairs of shoes can the cobbler mend in a day? ** From Monday to Thursday, the cobbler can mend 3 x 8 = <<3*8=24>>24 pairs of shoes a day. How many pairs of shoes can the cobbeler mend in a week? ** From Monday to Thursday, he can mend 24 x 4 = <<24*4=96>>96 pairs of shoes. How many hours does the cobbeler work on Friday? ** On Friday, he works for 11 - 8 = <<11-8=3>>3 hours. How many pairs of shoes can the cobbelers mend on Friday? ** On Friday, he can mend 3 x 3 = <<3*3=9>>9 pairs of shoes. How many pairs of shoes can the cobbeler mend in a week? ** In a week, he can mend 96 + 9 = <<96+9=105>>105 pairs of shoes. #### 105 John is 10 years old. His sister is twice his age. When he is 50 years old, how old will his sister be? How old is John's sister? ** His sister is 10*2= <<10*2=20>>20 years old How old is John's sister? ** Their age difference is 20-10= <<20-10=10>>10 years How old will John's sister be when he is 50? ** Therefore when he is 50 she will be 50+10= <<50+10=60>>60 years old. #### 60 You draw a rectangle that is 7 inches wide. It is 4 times as long as it is wide. What is the area of the rectangle? How long is the rectangle? ** The length of the rectangle is 4 * 7 inches = <<4*7=28>>28 inches. What is the area of the rectangle? ** The area of the rectangle is 7 inches * 28 inches = <<7*28=196>>196 square inches. #### 196 Erwin eats 2 chocolates on weekdays and 1 chocolate on weekends. He ate 24 chocolates in total. How many weeks did it take to finish all the chocolate? How many chocolates does Erwin eat on weekdays? ** On weekdays he eats 5*2=<<5*2=10>>10 chocolates How many chocolates does Erwin eat on weekends? ** On weekends he eats 2*1=<<2*1=2>>2 chocolates How many chocolates does Erwin eat in a week? ** He eats 10+2=<<10+2=12>>12 chocolates in a week. How many weeks did it take to finish all the chocolate? ** It takes 24/12=<<24/12=2>>2 weeks to finish all the chocolate. #### 2 Alexa has a lemonade stand where she sells lemonade for $2 for one cup. If she spent $20 on ingredients, how many cups of lemonade does she need to sell to make a profit of $80? How much money does Alexa need to make a profit? ** To make a profit of $80, she needs to make $80 + $20 = $<<80+20=100>>100 How many cups of lemonade does Alexa need to sell? ** She needs to sell $100 / $2 = <<100/2=50>>50 cups of lemonade #### 50 Janet's grades for her first semester of college were 90, 80, 70, and 100. If her semester 2 average was 82 percent, how much higher was her semester 1 average compared to her semester 2 average? How many points did Janet get in the first semester? ** First add all Janet's grade for the first semester of college: 90 + 80 + 70 + 100 = <<90+80+70+100=340>>340 How many points did Janet get in the first semester? ** Then divide that number by 4 to find her average grade: 340 / 4 = <<340/4=85>>85 How many points did Janet get in the first semester? ** Then subtract her semester 2 average to find the difference: 85 - 82 = <<85-82=3>>3 #### 3 Keegan is in school for 7.5 hours each day and he is taking 7 classes. He has history and chemistry classes for a combined total of 1.5 hours. How many minutes does Keegan spend in one of his other classes on average? How many other classes does Keegan have? ** He has 7-2=<<7-2=5>>5 other classes How many hours total does Keegan spend on his other classes? ** 7.5 hours - 1.5 hours = <<7.5-1.5=6>>6 hours How many minutes total does Keegan spend on his other classes? ** 6 hours = <<6*60=360>>360 minutes How many minutes on average does Keegan spend on his other classes? ** 360/5 = <<360/5=72>>72 minutes How many minutes does Keegan spend in one of his other classes on average? ** Keegan spends 72 minutes in one of his other classes. #### 72