Erica is getting dessert at a pie buffet where all the pies are the same size. She takes 1/5 of an apple pie and 3/4 of a cherry pie. What fraction of a whole pie did Erica take, expressed as a percentage?

First, find a common denominator for the fractions by multiplying 5 and 4: 5 * 4 =

<<5*4=20>>20. Then convert 1/5 to twentieths by multiplying the top and bottom by 4: 1/5 * 4/4 = 4/20. Then convert 3/4 to twentieths by multiplying the top and bottom by 5: 3/4 * 5/5 = 15/20 Now that the two fractions have the same denominator, you can add them: 4/20 + 15/20 = 19/20. Now divide 19 by 20 and multiply the answer by 100 to convert the fraction to a percentage: 19/20 * 100 = %<<19/20*100=95>>95. #### 95 Aunt May milks her cows twice a day. This morning she got 365 gallons of milk. This evening she got 380 gallons. She sold 612 gallons to the local ice cream factory. She had 15 gallons left over from yesterday. How many gallons of milk does she have left? Today Aunt May's cows gave her 365 gallons + 380 = <<365+380=745>>745 gallons of milk. She had 745 gallons - 612 gallons sold to the ice cream factory = <<745-612=133>>133 gallons of milk left. Combined with the leftover from yesterday, Aunt May has 133 gallons + 15 gallons = <<133+15=148>>148 gallons of milk. #### 148 Tyrah has six times as many pencils as Sarah has. Tim has eight times as many pencils as Sarah. If Tyrah has 12 pencils, how many does Tim have? Sarah has 12/6=<<12/6=2>>2 pencils Tim has 8*2=<<8*2=16>>16 pencils #### 16 Carly had 42 lollipops to share with her friends. Half of the lollipops were cherry, and the rest were equal amounts of watermelon, sour apple, and grape. How many lollipops were grape? Of her 42 lollipops, half were cherry, so 42 lollipops / 2 = <<42/2=21>>21 were not cherry. Of the 21 that were not cherry, 1/3 of them were grape, so 21 lollipops / 3 = <<21/3=7>>7 grape lollipops. #### 7 A farmer is checking his fields to make sure all of his crops are growing as they should. Rows of corn stalks should produce 9 corn cobs each, and rows of potatoes should produce 30 potatoes each. As he’s checking crop quality, he notices that there are more pests than usual and they have destroyed some of his crops. He thinks that half of his crops have been destroyed by the pests. If the farmer has 10 rows of corn stalks and 5 rows of potatoes, how many crops does the farmer still have? The farmer had a total of 10 rows of corn stalks * 9 corn cobs each = <<10*9=90>>90 corn cobs. He also had a total of 5 rows of potatoes * 30 potatoes each = <<5*30=150>>150 potatoes. This was a total of 90 corn cobs + 150 potatoes = <<90+150=240>>240 crops. Because pests destroyed half of his crops, he now has 240 crops * 0.5 = <<240*0.5=120>>120 crops. #### 120 Milly is making croissants. She needs to fold the dough 4 times, which takes 5 minutes each time, then let it rest for 75 minutes each time. If mixing the ingredients takes 10 minutes and baking the croissants takes 30 minutes, how many hours does the whole process take? First finding the time to fold the dough and let it rest one time: 5 minutes + 75 minutes = <<5+75=80>>80 minutes Then find the total time spent folding and resting the dough: 80 minutes/time * 4 times = <<80*4=320>>320 minutes Then add the mixing and baking time: 320 minutes + 30 minutes + 10 minutes = <<320+30+10=360>>360 minutes Then divide that number by the number of minutes per hour to find the total time in hours: 360 minutes / 60 minutes/hour = <<360/60=6>>6 hours #### 6 Wallace's water heater is twice the size of Catherine's water heater. If the capacity of Wallace's water heater is 40 gallons and it's 3/4 full, calculate the total number of gallons of water they both have if Catherine's water heater is also full with water to 3/4 of its capacity. When 3/4 full of water, Wallace's water heater has 3/4*40 = <<3/4*40=30>>30 gallons of water. Catherine's water heater capacity is 40/2 = <<40/2=20>>20 gallons When 3/4 full, Catherine's water heater has 3/4*20 = <<3/4*20=15>>15 gallons of water. Together, when 3/4 full with water, Wallace's and Catherine's water heaters hold 15+30 = 45 gallons of water. #### 45 Karina was born in 1970 and she is currently twice as old as her brother. If her current age is 40, in what year was her brother born? If Karina is currently 40, and she is twice as old as her brother, then her brother is currently 40/2 = <<40/2=20>>20 years old. If Karina was born in 1970, then her brother was born in 1970+20 = <<1970+20=1990>>1990 #### 1990 A quantity surveyor is figuring the construction costs for a couple that wishes to build a house. The costs are as follows: land costs $50 per square meter, bricks cost $100 per 1000 bricks and roof tiles cost $10 per roof tile. If the house they wish to build requires 2000 square meters, 10000 bricks, and 500 roof tiles, how much construction costs are required for this project? The cost required for buying land is $50/sq m * 2000 sq m = $<<50*2000=100000>>100000. The cost required for buying bricks is $100/1000 bricks * 10000 bricks = $<<100/1000*10000=1000>>1000. The cost required for buying roof tiles is $10/tile * 500 tiles = $<<10*500=5000>>5000. The total construction cost is $100000 + $1000 + $5000 = $<<100000+1000+5000=106000>>106000. #### 106000 Logan's father receives 50 cartons delivery for his milk business, each carton having 20 jars of milk. On a particular week, he received 20 cartons less when the delivery was done, and during offloading, he realized 3 jars in 5 cartons each was damaged, and one carton was totally damaged. How many jars of milk were good for sale that week? When 20 cartons failed to be delivered, the number of cartons reduced to 50-20 = <<50-20=30>>30 cartons. The total number of jars in all the cartons is 30*20 = <<30*20=600>>600 The total number of jars destroyed in the 5 cartons is 3*5 = <<3*5=15>>15 jars. If one carton was also destroyed, the total number of destroyed jars is 20+15 = <<20+15=35>>35 jars. The number of jars good for sale is 600-35 = <<600-35=565>>565 jars. #### 565