Q: Michael has $42. His brother has $17. Michael gives away half the money to his brother. His brother then buys 3 dollars worth of candy. How much money, in dollars, did his brother have in the end?
A: Michael gives away 42 / 2 = 21 dollars. His brother then has 21 + 17 = 38 dollars. In the end, his brother has 38 - 3 = 35 dollars. The answer is 35.
Question: In a school with 800 students, 5/8 of the students are girls. Seven-tenths of the girls and two-fifths of the boys are in the primary grades, while the rest are middle schoolers. How many middle schoolers are there?
Answer: There are 800 x 5 / 8 = 500 girls. So, there are 800 - 500 = 300 boys. There are 500 x 7 / 10 = 350 girls that are in the primary grades. Hence, 500 - 350 = 150 girls are middle schoolers. There are 300 x 2 / 5 = 120 boys that are in the primary grades. Hence, 300 - 120 = 180 boy students are middle schoolers. Therefore, a total of 150 girls + 180 boys = 330 middle schoolers. The answer is 330.
[Question]June made a design with 20 equal tiles. Three tiles are yellow and the number of blue tiles is one more than the number of yellow tiles. Six tiles are purple and the remaining tiles are white. How many white tiles are there?
[Answer]There are 3 + 1 = 4 blue tiles. There are a total of 3 + 4 + 6 = 13 tiles are yellow, blue, and purple. Hence, 20 - 13 = 7 tiles are white. The answer is 7.
Q: While practising for his upcoming math exams, Hayes realised that the area of a circle he had just solved was equal to the perimeter of a square he had solved in the previous problem. If the area of the circle was 100, what's the length of one side of the square?
A: Let's say the side of a square is s.To get the perimeter of a square, you add all the sides, which is s + s + s + s = 100. Therefore, 4s = 100. Therefore one side of the square is s = 100 / 4 = 25. The answer is 25.
Question: Kendra made 4 more than five times as many decorated buttons as Mari. Sue made half as many as Kendra. Mari made 8 buttons. How many did Sue make?
Answer: Kendra made 4 + 5 * 8 = 44. Sue made 44 / 2 = 22. The answer is 22.
Q: Legacy has 5 bars of gold she received from her father. Her friend Aleena has 2 bars fewer than she has. If a bar of gold is worth $2200, calculate the total value of gold the three have together.
A:
If Legacy has 5 bars, Aleena has 5 bars - 2 bars = 3 bars. In total, they have 5 bars + 3 bars = 8 bars,. Since one bar of gold is worth $2200, the 8 bars they have together are worth 8 bars * $2200 / bar = $17600. The answer is 17600.