Question: An apple tree has three times as many apples as the number of plums on a plum tree. If Damien picks 3/5 of the fruits from the trees, calculate the total number of plums and apples remaining on the tree if there were 180 apples on the apple tree before Damien picked any of the fruits.
Answer: Initially, the were 180 / / 3 = 60 plums on the plum tree. When Damien picked 3 / 5 of the apples from the apple tree, he picked 3 / 5 * 180 = 108 apples. The number of apples remaining on the apple tree is 180 - 108 = 72. The number of plums that Damien picked from the plum tree is 3 / 5 * 60 = 36. The number of plums remaining on the plum tree is 60 - 36 = 24. The total number of fruits remaining on the trees is 72 apples + 24 plums = 96. The answer is 96.

Question: Billy's mom sends him to get ketchup. She gives him $10 and tells him to get the best deal on ketchup that he can and to spend all $10 on ketchup. He finds a bottle with 10 oz that cost $1 each. He finds a bottle that costs $2 that contains 16 ounces. He finds a bottle with 25 ounces that costs $2.5. He finds a $5 bottle that contains 50 ounces. Finally, he finds a $10 bottle with 200 ounces. How many bottles of ketchup does he buy?
Answer: The 10 ounce bottle costs $.1 an ounce because 1 / 10 = .1. The 16 ounce bottle costs $.125 an ounce because 2 / 12 = .125. The 25 ounce bottle costs $.125 an ounce because 2.5 / 20 = .125. The 50 ounce bottle costs $.1 an ounce because 5 / 50 = .1. The 200 ounce bottle cost $.05 an ounce because 10 / 200 = .05. The 200 ounce bottle is the cheapest per ounce because .05 < .08 < .1 < .125. He buys 1 bottle of ketchup because 10 / 10 = 1. The answer is 1.

Question: Mary wants 144 cupcakes for her party. Mary has already made 36 cherry cupcakes, and 48 berry cupcakes. Mary wants to make an even number of chocolate and vanilla cupcakes for the rest. How much of each should she make?
Answer: Mary currently has 36 cherry + 48 berry cupcakes = 84 cupcakes. Mary needs an additional 144 cupcakes – 84 = 60 cupcakes. Mary wants to split that number evenly between chocolate and vanilla, so 60 / 2 = 30 cupcakes of each flavor. The answer is 30.

Question: Lana and Mike are taking their dog and renting a cabin in the mountains for 2 weeks. The daily rate is $125.00 There is a $100.00 pet fee. There is also a 20% service/cleaning fee for the rental. They need to pay 50% of the entire bill as a security deposit. How much is their security deposit?
Answer:
There are 7 days in a week and they're going for 2 weeks so that's 7 * 2 = 14 days. The daily rate is $125.00 and they are staying for 14 days so that's 125 * 14 = $1,750.00. There is also a $100.00 pet fee on top of their rental fee of $1,750.00 so that's 100 + 1750 = $1850.00. There is a 20% fee on the $1,850.00 so the fee comes to .20 * 1850 = $370.00. The rental will costs $1,850.00 and there is $370.00 service / cleaning fee for a total of 1850 + 370 = $2,220.00. They need to pay 50% of the entire bill as a security deposit so that will be .5 * 2220 = $1,110.00. The answer is 1110.