# Tutor profile: Erin N.

## Questions

### Subject: Pre-Algebra

What value of x solves the following proportion? 9/6 = x/8

Line up our proportion table -- cross divide. 6 * x = 6x 9 * 8 = 72 6x = 72 How do we get x by itself? We need to divide it by 6; what we do to one side, we do to the other. Leaves us with: x = 12

### Subject: Basic Math

What is the product of 2.78 x 2 rounded to the nearest whole number?

What is the definition of "product"? "Product" is the answer we get when we multiple numbers. First we need to find the product of 2.78 x 2; this equals 5.56. We would round this to 6.

### Subject: Algebra

This year, a salesman sells a total of $60,000 worth of steak knives by going door-to-door. This represents a 20% increase from the year before. What was the value of his sales last year?

What do we use when a specific number we need is unknown? Variables -- usually called "x". So we know last year, he sold x. This year, we know he met x and then went over it by 20%. That means he met 100% of the amount and then 20% more, which combined = 120%. That totaled $60,000. In math, "of" often means the same as multiplication. So if we know this year's profit ($60,000) was 120% OF last year's profit, how would we write that? This year's profit = 120% of last year's profit $60,000 = 120% x (of) "x" We can't multiply until we make our percentage a decimal. $60,000 = 1.2x We need x by itself -- so we divide the right side by 1.2 and what we do to one side, we must do to the other. $50,000 = x Therefore, the salesman sold $50,000 worth of steak knives last year.

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