Patricia G.

Recent Binghamton grad

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Pre-Algebra

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Question:

A number plus 375 is 1,203. What is that number?

Patricia G.

Answer:

Let's assign the variable 'x' to the number in question. We can re-write this as: x + 375 = 1,203 Isolate 'x': x = 1,203 - 375 x = 828

Basic Math

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Question:

There are 8 slices in a single pizza pie. Ms. Fox bought 3 pizza pies for her class. If she has 19 students and each kid eats 1 slice, how many slices are leftover? If she buys a 4th pie, will every kid get to eat at least 2 slices?

Patricia G.

Answer:

Let's focus on the first question. We need to find out how many slices Ms. Fox buys in total: 8*3 = 24. # of slices leftover: 24 - 19 = 5 This means that with 3 pizza pies, 5 students can have two slices. For the next part of the question, we need to figure out if buying another pie (8 more slices) will be enough so that every kid can have 2 slices. This must mean that the Total # of Slices in 4 pies ≥ # of kids multiplied by 2. 19*2 = 38 slices needed If Ms. Fox buys 4 pies, that's 4*8 = 32 slices in total. Since 32 is smaller than 38, that means that not every kid will get to eat 2 slices. *Note: It is also possible to use your answer that five students can have two slices if Ms. Fox buys 3 pies to solve the second question. Give it a try.

Algebra

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Question:

Uncle Mike is 17 years older than half of Grandpa Joe's age. Uncle Mike is 59. How old is Grandpa Joe?

Patricia G.

Answer:

Here we have two people: Uncle Mike and Grandpa Joe. We can start by assigning each person's age to a variable: Uncle Mike's age = m Grandpa Joe's age = j Let's look at the problem again: Uncle Mike is 17 years older than half of Grandpa Joe's age. We can re-write this as: m = 17 + (1/2)*j Next we will plug-in for any known values: 59 = 17 + (1/2)*j Isolate 'j': 59 - 17 = (1/2)*j 2*(42) = j 84 = j Grandpa Joe is 84 years old.

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