Kids on a field trip to a dairy farm are gathered in the barn with cows. If there are 11 heads and 28 legs in the barn, how many kids and how many cows are
in the barn?

There were 8 kids and 3 cows in the barn.

These types of questions can be very confusing to grasp if you don’t know what to look for. In this case you need to really think about the words given.

When talking about heads, a cow and a kid have the same amount (one of course). So when the question states we have a total of 11 heads, we also have a total of 11 cows and kids combined. We can state this as x+y=11 (x being for the amount of kids and y being the amount of cows.) we can now put this equation to the side for now and find the next equation needed.

We then need to use the given legs in the barn, in which case kids have 2 and cows have 4, therefore we can get the equation 2x+4y=28 (x being the amount of kids and y being the amount of cows).

We now have two options to do complete this task: elimination and substitution. We’ll do substitution as to I confuse you too much.

So we have two equations x+y=11 and 2x+4y=28. We need to substitute in our value for x or y. So to do this I will find what x equals from the first equation we made (x+y=11). First subtract y from both sides of the equation to get x=11-y.

Next (so we can make this even simpler) let’s grab the equation 2x+4y=28 and make it simplified even more by halving the entire equation because all the numbers are even, leaving us with x+2y=14.

Now here’s the substitution part, since we have the first equation as to what x would equal (x=11-y) we then put that into the new equation x+2y=14. The equation that will solve for y while now look like 11-y+2y=14. Now we want to add like terms to get 11+y=14 and then subtract by 11 to get y by itself which leaves us with y=3. Y is stated in our equation to be the amount of cows, therefore we have 3 cows. Because we had a total of 11 cows and kids, we can then infer there are 8 kids in the barn based on the previous equation x+y=11 now being x+3=11.

answer:   segregation violated the equal protection clause of the 14th amendment, which holds that no state can “deny to any person within its jurisdiction the equal protection of the laws.”

details/explanation:

brown v. board of education of topeka, decided by the us supreme court in 1954, ruled that all americans are entitled to the same civil liberties and protections in regard to access to education. until that decision, it was legal to segregate schools according to race, so that black students could not attend the same schools as white students.   an older supreme court decision, plessy v. ferguson (1896), had said that separate, segregated public facilities were acceptable as long as the facilities offered were equal in quality.   in the case of brown v. board of education, that standard was challenged and defeated.   segregation was shown to create inequality, and the supreme court unanimously ruled segregation to be unconstitutional.

the ruling was important in advancing civil rights because it affirmed that the 14th amendment applies to all rights and privileges of citizens, including access to   education.   this was being violated by states whose laws supported the segregation of schools.   section 1 of the 14th amendment reads as follows:

all persons born or naturalized in the united states and subject to the jurisdiction thereof, are citizens of the united states and of the state wherein they reside. no state shall make or enforce any law which shall abridge the privileges or immunities of citizens of the united states; nor shall any state deprive any person of life, liberty, or property, without due process of law; nor deny to any person within its jurisdiction the equal protection of the laws.