Appearance
question:An isosceles right triangle has legs of length 12, and it is partitioned into 18 congruent triangles. The shaded area consists of 12 of these smaller triangles. A) 36 B) 40 C) 48 D) 54 E) 72
answer:Step 1: Calculate the area of the large triangle Using the formula for the area of a triangle ( text{Area} = frac{1}{2} times text{base} times text{height} ), and since both the base and height are 12: [ text{Area} = frac{1}{2} times 12 times 12 = 72 ] Step 2: Calculate the area of one small triangle The large triangle is divided into 18 equal parts, so each smaller triangle's area is: [ text{Area of one small triangle} = frac{72}{18} = 4 ] Step 3: Calculate the shaded area The shaded area comprises 12 of these smaller triangles: [ text{Shaded area} = 12 times 4 = 48 ] Conclusion The shaded area is 48. The final answer is boxed{C) 48}
question:There was a lonely pigeon eating breadcrumbs. Another pigeon came to eat breadcrumbs, too. Now there are 2 pigeons eating breadcrumbs. How many pigeons were eating breadcrumbs initially?
answer:Initially, there was boxed{1} lonely pigeon eating breadcrumbs.
question:Bingley has 5 bracelets. Kelly gives Bingley a fourth of her 16 bracelets. Then Bingley gives a third of his bracelets to his little sister. How many bracelets does Bingley have remaining?
answer:Bingley starts with 5 bracelets. Kelly gives Bingley a fourth of her 16 bracelets, which is 16 / 4 = 4 bracelets. Now Bingley has 5 + 4 = 9 bracelets. Bingley then gives a third of his 9 bracelets to his little sister, which is 9 / 3 = 3 bracelets. After giving away 3 bracelets, Bingley has 9 - 3 = boxed{6} bracelets remaining.
question:Kelly has 46 Nintendo games and 132 Sony games. She needs to give away some Sony games so that she will have a certain number of Sony games left. If she gives away 101 Sony games, how many Sony games will she have left?
answer:If Kelly gives away 101 Sony games from her collection of 132 Sony games, she will have: 132 Sony games - 101 Sony games = boxed{31} Sony games left.