Appearance
question:w much money did Mr. Zander spend on construction materials, including 500 bags of cement bought for 10 per bag and twenty lorries of construction sand, each carrying 10 tons of sand, sold for 40 per ton?
answer:Mr. Zander bought 500 bags of cement for 10 per bag, so he spent 500 * 10 = 5000 on cement. Each lorry carried 10 tons of sand, so Mr. Zander had a total of 20 * 10 = 200 tons of sand. He sold the sand for 40 per ton, so he earned 200 * 40 = 8000 from selling the sand. Therefore, Mr. Zander spent 5000 + 8000 = 13000 on construction materials. 13000 The answer is: 13000
question:After spending 7 on a shirt and three times that amount at another shop, how much money does Lily have left in her account if she initially had 55?
answer:Lily spent 7 on a shirt, so she has 55 - 7 = 48 left. She also spent three times that amount at another shop, so she spent 7 * 3 = 21 at the other shop. Therefore, Lily has 48 - 21 = 27 left in her account. 27 The answer is: 27
question:The exact amount of fencing that enclosed the four congruent equilateral triangular corrals shown here is reused to form one large equilateral triangular corral. What is the ratio of the total area of the four small corrals to the area of the new large corral? Express your answer as a common fraction. [asy] draw((0,0)--(1,sqrt(3))--(2,0)--cycle); draw((1,sqrt(3))--(0,2*sqrt(3))--(2,2*sqrt(3))--cycle); draw((0,2*sqrt(3))--(-2,2*sqrt(3))--(-1,3*sqrt(3))--cycle); draw((2,2*sqrt(3))--(4,2*sqrt(3))--(3,3*sqrt(3))--cycle); label("1", (-1,2.35*sqrt(3))); label("2", (3,2.35*sqrt(3))); label("3", (1,1.65*sqrt(3))); label("4", (1,.35*sqrt(3))); [/asy]
answer:The ratio of the side lengths of the small triangles to the side length of the large triangle is 1:2. Since area is proportional to the square of the side length, the ratio of the areas is (1:2)^2 = 1:4. Therefore, the ratio of the total area of the four small corrals to the area of the new large corral is boxed{frac{1}{4}}. The answer is: frac{1}{4}
question:f Nancy purchases one set of crystal beads at 9 each and two sets of metal beads at 10 each, what is the total amount of money she spends?
answer:Nancy purchases one set of crystal beads at 9 each, so she spends 9. Nancy also purchases two sets of metal beads at 10 each, so she spends 2 x 10 = 20. Therefore, the total amount of money Nancy spends is 9 + 20 = 29. 29 The answer is: 29