Question: There are 64 seventh graders at a middle school. This is 32% of the students at the school. The sixth graders comprise 38% of the students. How many sixth graders attend middle school?
Answer: Let X be the number of students in the middle school. There are X * 32% = 64 seventh graders. So there are X = 64 / 0.32 = 200 students at the school. And there are 200 * 38% = 76 sixth graders. The answer is 76.
[Question]Ella has 4 bags with 20 apples in each bag and six bags with 25 apples in each bag. If Ella sells 200 apples, how many apples does Ella has left?
[Answer]4 bags have 4 x 20 = 80 apples. And, six bags have 6 x 25 = 150 apples. Thus, Ella has 80 + 150 = 230 apples in all. Therefore, Ella has 230 - 200 = 30 apple left. The answer is 30.
Q: Two tribes of soldiers gathered for a battle. The number of women was double the number of cannoneers. There were 63 cannoneers. None of the cannoneers were women. The total number of men is twice the number of women. How many people in total are there?
A: There are 63 * 2 = 126 women. The men are 2 * 126 = 252 men. The total number of people are 126 + 252 = 378 people. The answer is 378.
Question: The rainy season is here, Jan collected 65 gallons of water in a barrel outside her home. She uses 7 gallons of water each to clean the two cars and uses 11 fewer gallons than the two cars to water the plants. Then, she uses half of the remaining gallons of water to wash the plates and clothes. How many gallons of water does Jan use to wash her plates and clothes?
Answer: She uses 7 x 2 = 14 gallons of water to clean the two cars. She uses 14 - 11 = 3 gallons of water to water the plants. The total gallons of water that she uses to clean the cars and to water the plants is 14 + 3 = 17. Jan has 65 - 17 = 48 gallons of water remaining after cleaning the cars and watering the plants. Jan uses 48 / 2 = 24 gallons of water to wash her plates and clothes. The answer is 24.
[Question]Aaron is gathering can lids to take to the recycling center. He uses 3 equal-sized boxes of canned tomatoes and adds the lids he gets to the 14 can lids he already has. He is now taking 53 can lids to the recycling center. How many cans lids did he get from each box?
[Answer]Calculating the difference between the can lids Aaron has now and the amount that he had initially shows there were 53 14 = 39 can lids in the boxes of canned tomatoes. As the boxes are the same size, splitting these can lids equally shows that there were 39 / 3 = 13 can lids in each box. The answer is 13.
[Question]Teresa scored 70 marks in science, 80 in music, 85 in social studies, and the physics exam, which was the hardest test that Teresa had ever taken in her entire life, she scored half as many marks as she scored in music. Calculate the total marks Teresa scored in all the subjects.
[Answer]
The total marks of science and music are 70 + 80 = 150. When you add the marks she scored in social studies, the full marks become 150 + 85 = 235. She scored half as many marks in physics as she scored music, totaling 1 / 2 * 80 = 40 marks. When you add the marks she scored in physics to the total marks of the other subjects, the full marks become 235 + 40 = 275. The answer is 275.