Question: James is trying to avoid eating too much sodium. He's making a recipe that calls for 2 teaspoons of salt and 8 oz of parmesan cheese. Salt has 50 mg of sodium per teaspoon and parmesan has 25 mg of sodium per oz. If he can't reduce the salt, how many fewer ounces of parmesan cheese does he need to use to reduce the total amount of sodium by 1/3rd?
Answer: First find how much sodium the parmesan has in total by multiply the amount of sodium per ounce by the number of oz: 25 mg / oz * 8 oz = 200 mg. Then use the same process to find how much sodium is in the salt: 50 mg / tsp * 2 tsp = 100 mg. Then find the total sodium in the recipe by adding the sodium from the cheese and the salt: 100 mg + 200 mg = 300 mg. Then multiply the total amount of sodium by 1 / 3 to find how much less sodium James wants: 300 mg * 1 / 3 = 100 mg. Then divide this amount by the amount of sodium per ounce of cheese to find how many fewer ounces of cheese he needs: 100 mg / 25 mg / oz = 4 oz. The answer is 4.
[Question]One kilogram of tomatoes is 20% cheaper than one kilogram of cucumbers. One kilogram of cucumbers costs $5. What is the price of two kilograms of tomatoes and three kilograms of cucumbers?
[Answer]One kilogram of tomatoes is 20 / 100 * 5 = $1 cheaper than one kilogram of cucumbers. This means that one kilogram of tomatoes costs 5 - 1 = $4. So two kilograms of tomatoes is a cost of 2 * 4 = $8. And three kilograms of cucumbers is a cost of 3 * 5 = $15. So the price for both products would be 8 + 15 = $23. The answer is 23.
Q: Archibald eats 1 apple a day for two weeks. Over the next three weeks, he eats the same number of apples as the total of the first two weeks. Over the next two weeks, he eats 3 apples a day. Over these 7 weeks, how many apples does he average a week?
A: He ate 14 apples the first two weeks because 14 x 1 = 14. He ate 14 apples in the next three weeks because 14 = 14. He ate 42 apples in the final two weeks because 14 x 3 = 42. He ate 70 apples in total. He averaged 10 apples a week because 70 / 7 = 10. The answer is 10.
Question: James hires a seamstress to fix all his shirts and pants. He has 10 shirts and 12 pairs of pants. It takes 1.5 hours to fix a shirt and twice as long for pants. The tailor charges $30 per hour. How much does it cost?
Answer: It takes 10 * 1.5 = 15 hours to fix his shirts. It takes 1.5 * 2 = 3 hours per pair of pants. So it takes 3 * 12 = 36 hours for the pants. That means in total it takes 15 + 36 = 51 hours. So it cost 51 * 30 = $1530 to fix everything. The answer is 1530.
[Question]Mason has 3 cartons of 200 blueberries. He makes as many muffins as he can with 10 blueberries per muffin. Then he makes 60 cinnamon muffins. What percentage of all the muffins he made have blueberries?
[Answer]First find the total number of blueberries Mason has: 200 blueberries / carton * 3 cartons = 600 blueberries. Then divide the total number of blueberries by the number of blueberries per muffin: 600 blueberries / 10 blueberries / muffin = 60 muffins. Then add that number of muffins to the number of cinnamon muffins to find the total number of muffins: 60 muffins + 60 muffins = 120 muffins. Then divide the number of blueberry muffins by the total number of muffins and multiply by 100% to express the answer as a percentage: 60 muffins / 120 muffins * 100% = 50%. The answer is 50.
[Question]For every one dozen flowers bought, a customer gets 2 free flowers. If Maria wants to buy 3 dozens flowers, how many pieces of flowers will she have in all?
[Answer]
Maria has 3 x 2 = 6 free flowers from buying 3 dozens flowers. Since each dozen is equal to 12, then Maria bought 3 x 12 = 36 flowers. Hence, she has a total of 36 + 6 = 42 flowers. The answer is 42.