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question:A candy store uses food colouring in various candies. Each lollipop uses 5ml of food colouring, and each hard candy also needs food colouring. In one day, the candy store makes 100 lollipops and x hard candies. They do not use food colouring in anything else. The store has used 600ml of food colouring by the end of the day. How much food colouring, in millilitres, Each hard candy needs 20. What is the value of unknown variable x?
answer:To solve this problem, we need to determine the value of x, which represents the number of hard candies made by the candy store. Let's break down the information given: Amount of food colouring used per lollipop: 5ml Number of lollipops made: 100 Amount of food colouring used for lollipops: 100 * 5ml = 500ml Amount of food colouring used per hard candy: 20ml Total amount of food colouring used: 600ml We can set up the equation as follows: Amount of food colouring used for lollipops + Amount of food colouring used for hard candies = Total amount of food colouring used 500ml + 20ml * x = 600ml Let's simplify and solve for x: 20ml * x = 600ml - 500ml 20ml * x = 100ml To isolate x, we divide both sides of the equation by 20ml: x = 100ml / 20ml x = 5 The value of x is 5. 5 The answer is: 5
question:Mary has 3 times as much candy as Megan. Mary then adds 10 more pieces of candy to her collection. If Megan has 5 pieces of candy, how many does Mary have in total?
answer:If Megan has 5 pieces of candy, and Mary has 3 times as much candy as Megan, then Mary has 5 * 3 = 15 pieces of candy. If Mary adds 10 more pieces of candy to her collection, then she has a total of 15 + 10 = 25 pieces of candy. Therefore, Mary has 25 pieces of candy in total. 25 The answer is: 25
question:Tom invites his parents and 3 siblings to his house. They each eat 3 times a day. How many plates do Tom and his guests use while they are there for the x days if each person uses 2 plates per meal? If we know the answer to the above question is 144, what is the value of unknown variable x?
answer:Tom invites his parents and 3 siblings, so there are a total of 1 + 2 + 3 = 6 people in his house. Each person eats 3 times a day, so the total number of meals eaten per day is 6 * 3 = 18. Each person uses 2 plates per meal, so the total number of plates used per day is 18 * 2 = 36. If they are there for x days, then the total number of plates used is 36 * x. We are given that the total number of plates used is 144, so we can write: 36 * x = 144. Dividing both sides by 36, we get: x = 4. The value of x is 4. 4 The answer is: 4
question:The electricity price in Coco's town is 0.10 per kW. Coco's new oven has a consumption rate of 2.4 kWh (kilowatt-hours). How much will Coco pay for using his oven only if he used it for a total of 25 hours last month?
answer:Coco's oven has a consumption rate of 2.4 kWh per hour. If he used it for a total of 25 hours last month, then he used 2.4 kWh x 25 hours = 60 kWh in total. The price per kWh is 0.10, so Coco will pay 60 kWh x 0.10/kWh = 6 for using his oven. 6 The answer is: 6