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question:Melly's two cats each have litters of kittens at the same time. The first cat has 3 blue-eyed kittens and x brown-eyed kittens. The second cat has 4 blue-eyed kittens and 6 brown-eyed kittens. 35% of all the kittens have blue eyes. 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 brown-eyed kittens that the first cat has. Let's break down the information given: Number of blue-eyed kittens from the first cat: 3 Number of brown-eyed kittens from the first cat: x Number of blue-eyed kittens from the second cat: 4 Number of brown-eyed kittens from the second cat: 6 Percentage of kittens with blue eyes: 35% We can set up the equation as follows: (Number of blue-eyed kittens from the first cat + Number of blue-eyed kittens from the second cat) / (Total number of kittens) = Percentage of kittens with blue eyes (3 + 4) / (3 + x + 4 + 6) = 35% Let's simplify and solve for x: 7 / (13 + x) = 35% To convert the percentage to a decimal, we divide it by 100: 7 / (13 + x) = 0.35 To isolate x, we multiply both sides of the equation by (13 + x): 7 = 0.35 * (13 + x) 7 = 4.55 + 0.35x To isolate x, we subtract 4.55 from both sides of the equation: 7 - 4.55 = 4.55 - 4.55 + 0.35x 2.45 = 0.35x To solve for x, we divide both sides of the equation by 0.35: 2.45 / 0.35 = x 7 = x The value of x is 7. 7 The answer is: 7
question:Marc bought 50 episodes of the show "Friends" online. Each day Marc watches 1/10 of the episodes he bought. How many days will Marc need to finish 50 episodes of the show he bought?
answer:Marc watches 1/10 of the episodes he bought each day, so he watches 50 * 1/10 = 5 episodes per day. If he watches 5 episodes per day, he will need 50 / 5 = 10 days to finish all 50 episodes. 10 The answer is: 10
question:At the bake sale, Tamara makes 32 from the brownies. She made x pans of brownies which were all sold. The brownies were cut into 8 big square pieces. Each brownie cost 2. What is the value of unknown variable x? 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 pans of brownies Tamara made. We know that each pan of brownies was sold and each brownie cost 2. Therefore, the total amount made from the brownies is 32. We can set up the equation as follows: Number of pans of brownies * Number of brownies per pan * Cost per brownie = Total amount made from the brownies x * 8 * 2 = 32 Let's simplify and solve for x: 8x * 2 = 32 16x = 32 To isolate x, we divide both sides of the equation by 16: 16x / 16 = 32 / 16 x = 2 The value of x is 2. 2 The answer is: 2
question:Two pieces of bread are needed for one regular sandwich. 3 pieces of bread are needed for a double meat sandwich. How many pieces of bread are needed for 14 regular sandwiches and 12 double meat sandwiches?
answer:For 14 regular sandwiches, 2 pieces of bread are needed for each sandwich. So, 14 x 2 = 28 pieces of bread are needed. For 12 double meat sandwiches, 3 pieces of bread are needed for each sandwich. So, 12 x 3 = 36 pieces of bread are needed. In total, 28 + 36 = 64 pieces of bread are needed. 64 The answer is: 64