Question: On a construction site, a mason has to build 6 courses of a wall, each having 10 bricks per course. He has to build 4 such walls and realized he won't be able to finish two courses of the last wall because there were not enough bricks. What's the total number of bricks that he has used?
Answer: If he has to build 4 walls, each having 6 courses, the total number of courses to be built is 4 * 6 = 24 courses. If each course has 10 bricks, then the total of bricks for the courses is 24 * 10 = 240 bricks. The total number of bricks missing to finish the last wall is 2 * 10 = 20 bricks. The total number of used bricks is 240 - 20 = 220 bricks. The answer is 220.
[Question]Blake bought 4 lollipops and 6 packs of chocolate. If each lollipop costs $2 and a pack of chocolate costs the same as four lollipops, how much change will Blake get back if he gave the cashier 6 $10 bills?
[Answer]Four pieces of lollipop cost $2x 4 = $8. A pack of chocolate costs $8 so 6 packs cost $8 x 6 = $48. The total amount that she needs to pay is $8 + $48 = $56. Blake gave the cashier $10 x 6 = $60. So, her change is $60 - $56 = $4. The answer is 4.
Q: Manny is making lasagna for dinner with his four friends, Lisa, Raphael, Aaron, and Kai. He needs to know how many pieces to cut the lasagna into to serve it. Manny only wants one piece. Aaron doesn't like lasagna much and will probably only eat garlic bread and salad. Kai is always hungry and will eat twice as much as Manny. Raphael always eats half the amount Manny does, but his sister Lisa loves lasagna and will eat two pieces, plus any Raphael has left of his piece. How many pieces should Manny cut his lasagna into?
A: Manny will eat 1 piece. Aaron will eat 0 pieces. Kai will eat twice as much as Manny, so he will eat 2 * 1 = 2 pieces. Raphael will eat half as much as Manny, so he will eat 1 * 1 / 2 = 1 / 2 piece. Lisa will eat 2 pieces plus the remainder of Raphael’s piece, so she will eat 2 + 1 / 2 = 2 1 / 2 pieces. Together, they will eat 1 + 0 + 2 + 1 / 2 + 2 1 / 2 = 1 + 2 + 3 = 6 pieces. Thus, Manny should cut his lasagna into 6 pieces. The answer is 6.
Question: Talia is playing football with her friends. The park they're playing at is 5 miles from Talia's house. After their game, Talia is planning to go to the grocery store 3 miles away from the park and 8 miles from her home. Starting and ending at Talia's house, how many miles does Talia drive that day?
Answer: Talia first drives 5 miles to the park + 3 miles from the park to the grocery store = 8 miles. She next drives 8 miles from the store to home + the first 8 miles = 16 miles Talia drives that day. The answer is 16.
[Question]A cook had 300 carrots in a bucket he was using to cook meals for a restaurant. Before lunch, he had used 2/5 of the carrots. By the end of the day, he had chopped and used 3/5 of the remaining carrots. How many carrots were not used that day?
[Answer]Before lunch, the cook had used 2 / 5 * 300 = 120 carrots. The number of remaining carrots after the cook used 2 / 5 of them is 300 - 120 = 180. The cook had used 3 / 5 * 180 = 108 of the remaining carrots by the end of the day. The number of carrots that the cook did not use that day is 180 - 108 = 72. The answer is 72.
[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.