Thanksgiving 数学ematics 实践 problems

我们知道你有很多要感激的,但我们想再加一件事:感恩节坐数学练习题!

我祖母买感恩节火腿时用了两张优惠券。 第一个从她买的东西上扣了5美元。 第二家在降价的基础上再打了25%的折扣。 最后的总额是12美元。 火腿的原价是多少?

两名赛跑者正在参加一年一度的火鸡快步跑。 Leroy以每小时6英里的恒定速率跑,Kevin以每小时5英里的恒定速率跑。 如果Kevin在Leroy开始跑比赛的时候已经跑了24分钟,那么Leroy追上Kevin的时候会跑多远?

花20美元,顾客可以买2个南瓜派和6罐蔓越莓酱。 在同一家商店,顾客可以多花5美元购买3个南瓜派和4罐蔓越莓酱。 1个南瓜派比3罐蔓越莓酱贵多少?

4- I volunteer at a soup kitchen every Thanksgiving. 去年,我们用了248根胡萝卜和132个土豆。 今年,我们将把胡萝卜的使用量增加50%。 如果我们今年用的胡萝卜和土豆是去年的两倍,那么我们今年要用多少土豆呢?

问题5和问题6请参考下面的信息。

下面的圆圈代表这个家庭的苹果派。 阴影区域显示了贪吃的霍巴特叔叔晚饭后给自己吃的那片。 下面的主弧AB长度为16.5英寸,而小弧AB长度为11英寸。

Use this figure to solve this 坐 数学 problem.

5-霍巴特叔叔的那块饼(小弧AB)的中心角是多少?

6-用来做苹果派的派盘的直径是多少,四舍五入到最近的英寸?

问题7和问题8请参考下面的信息。

年龄段 苹果派 南瓜饼 樱桃饼 核桃派
~ 29 22 12 5 8 47
30 - 44岁 16 26 6 8 56
45-59 25 37 8 8 78
60 + 31 23 7 8 69
94 98 26 32 250

馅饼爱好者联合俱乐部的250名成员被随机选中,并被要求从四个选项中选择他们最喜欢的馅饼。 调查结果如上所示,应该被认为代表了俱乐部所有4000名成员的偏好。

7-年龄在18 - 29岁的受访者中,有多少人既喜欢南瓜派又喜欢南瓜派?

根据调查结果,整个俱乐部中大约有多少人喜欢樱桃派?

9- Aunt Ginny’s secret stuffing recipe features 3 types of bread cubes: rye, cornbread, and Italian bread. 我注意到她总共用了8杯面包块,其中3杯是黑麦面包块。 她告诉我,她用玉米面包块和意大利面包块的比例是1:2。 她用了多少杯意大利面包块?

10- My mother wants to serve both turkey and ham for Thanksgiving dinner. 火鸡每磅卖1美元,火腿每磅卖2.25美元。 我妈妈想为这顿饭买20磅肉,她想花35美元。 她能买到多大的火腿?

And now, the answers…

1- Let h be the original price of the ham. 第一个, subtr行为 $5 from that price for the first coupon to get the quantity (h – 5). Since her second coupon takes 25% off of this reduced price, we can calculate the price after the coupon 通过 multiplying this quantity 通过  Now we can set up an equation and solve:

2- D。 Since Kevin runs for 24 minutes  more than Leroy does, we know that if Leroy runs for t hours, then Kevin will run for (t + 0.4) hours. We also know that the two runners run the same distance, d, and that distance equals the product of the runner’s rate and his time spent running. Since we know that D = r t, we can use all of this to solve:

所以, we know that Leroy runs for  hours before he catches up to Kevin. 因此,Leroy追上Kevin的距离是:

3- B。 Set up a system of equations (with p equal to the number of pumpkin pies and c equal to the number of cans of cranberry sauce), with one representing the price of the first set of purchases and the other representing the second set of purchases:

然后,使用消元策略求解方程组。 上面的方程乘以-3,下面的方程乘以2,然后把两个方程相加得到:

所以,一罐蔓越莓酱的价格是1美元。 代入第一个方程,求出一个馅饼的成本:

所以,一个南瓜派的价格是7美元,而3罐蔓越莓酱的价格是3(1)= 3美元。 The difference is $7 – $3 = $4.

4- After increasing the number of carrots 通过 50%, we will have 248(1.5) = 372. 总的来说,胡萝卜和土豆的总用量是去年的两倍,或者等于2(248 + 132)= 760。 Subtr行为 from this new total number of vegetables the new number of carrots, 372, to get 760 – 372 = 388 potatoes.

弧长与圆周的比值总是等于圆心角与360度的比值:

Since we know the length of the minor arc and major arc, add these together to find the length of the circumference,  27.5 inches. 代入已知值求解:

6- D。 Since we already determined that the length of the circumference is 27.5 inches, use the formula  to find the 美联社proximate length of the diameter of the dish:

所以,直径的长度大约是9英寸。

7- 一个。 Looking at the table, we see that only 12 members from the sample group both prefer pumpkin pie and are in the ~ 29 year old age group. Divide this number 通过 the total number of people sampled, 250, to get  of the surveyed members.

8- D。 Since the survey is considered representative of the overall club, we know the percentage of people in the survey who prefer cherry pie should be 美联社proximately the same as the percentage of people in the overall club who prefer cherry pie:

9- 10/3杯。 Since 3 of the cups of bread are rye, the remaining 8 – 3 = 5 cups must be a combination of cornbread and Italian bread. 因为玉米面包和意大利面包的比例是1:2,我们知道

10- 12磅。 Let h be the number of pounds of ham used and t be the number of pounds of turkey.  我们知道下面两个方程一定是有效的,一个是肉的重量,另一个是肉的价格:

Solve the bottom equation for  and plug it into the top equation, then solve for h:

所以,

所以,我妈妈可以买一个12磅的火腿。

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