[Question]Anna spent 1/4 of her money, and now she has $24 left. How much did she have originally?
[Answer]Let X be the amount Anna had originally. She spent X * 1 / 4 and has X - X * 1 / 4 = $24 left. Combining like terms, we get X * 3 / 4 = $24. Dividing both sides by 3 / 4, we get X = $32. The answer is 32.
Q: One-third of a class of 39 students took part in a math competition. How many students did not participate in the competition?
A: Since one - third of the class participated, there are 39 * 1 / 3 = 13 students who participated in the competition. This means that 39 – 13 = 26 students did not participate. The answer is 26.
Question: Quinten sees three buildings downtown and decides to estimate their heights. He knows from a book on local buildings that the one in the middle is 100 feet tall. The one on the left looks like it is 80% of the height of the middle one. The one on the right looks 20 feet shorter than if the building on the left and middle were stacked on top of each other. How tall does Quinten estimate their total height to be?
Answer: He estimates the building on the left is 80 feet tall because 100 x .8 = 80. The combined height of the left and middle is 180 because 100 + 80 = 180. The building on the right he estimates as 160 feet because 180 - 20 = 160. He estimates the combined height as 340 feet because 80 + 100 + 160 = 340. The answer is 340.
[Question]Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?
[Answer]Juwella read 15 x 2 = 30 pages two nights ago. She read 30 + 5 = 35 pages last night. She read a total of 15 + 30 + 35 = 80 pages for three nights. Thus, she needs to read 100 - 80 = 20 pages tonight to finish the book. The answer is 20.
Q: Marites internet speed is 10 megabits per second and her monthly internet bill is $20. Marites is planning to upgrade her service and choosing between 20 Mbps and 30 Mbps. If the price of the 30 Mbps is twice the amount of her current monthly bill and the price of the 20 Mbps is $10 more than her current monthly bill, how much will she save per year if she chooses the 20 Mbps than 30 Mbps?
A: The total monthly bill for 30 Mbps is $20 x 2 = $40. She will have to pay $40 x 12 = $480 every year for 30mbps. The total monthly bill for 20 Mbps is $20 + $10 = $30. So, she will have to pay $30 x 12 = $360 for 20 Mbps per year. Therefore the amount she will save per year if she chooses the 20mbps is $480 - $360 = $120. The answer is 120.
Question: How many right triangles with a height of 2 inches and a width of two inches could fit inside a square with 2-inch sides?
Answer:
A triangle with a height of 2 inches and width of 2 inches has an area of 2 square inches because (1 / 2) x 2 x 2 = 2. The square has an area of 4 square inches because 2 x 2 = 4. 2 triangles would fit because 4 / 2 = 2. The answer is 2.