# Tutor profile: Arthur M.

## Questions

### Subject: Pre-Algebra

Find the percent of decrease from 8 to 4.

First we calculate the amount of change from 8 to 4. The amount of change is 4 since 8 - 4 equals 4. Now we take that number 4 and divide by the original amount of 8. We have fraction 4/8. Convert 4/8 into percent form. 4/8 simplifies to 1/2 and 1/2 as a percent is 50%. So the percent of decrease from 8 to 4 is 50%.

### Subject: Basic Math

What is 35% of 40?

One way to find a percent of a number is to understand the meaning of percent and set up a proportion. Percent means out of 100. 35% means 35 out of 100 or fraction 35/100. Now we can set up a proportion equation and solve for x. 35/100 = x/40 Solving equation, we first cross multiply and write equation and solve as follows: 100x = 35 * 40 100 x = 1400 x = 14 35% of 40 is 14.

### Subject: Algebra

Jill spent $52 for shoes. This was $18 less than twice what she spent for a blouse. How much was the blouse?

When we solve for a word problem, the question is usually the unknown variable. So we define the variable first. We can let x = the price of the blouse. The variable x is the answer to the question. The problem states that "This" -- that is, $52 -- was $18 less than twice x. So the equation is 2x - 18 = 52. Solving equation we have: 2x - 18 = 52 2x = 52+18 2x = 70 x = 35 The blouse cost $35.

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