# To explain:How are symbols used to represent mathematical ideas?

Question
Math Word Problem
To explain:How are symbols used to represent mathematical ideas?

2021-02-26
Concept Used: Any mathematical idea written into a word problem can be easily expressed using numbers and symbols. It helps to understand a certain problem into an easier and meaningful way. Let us consider following examples to understand this better:
1. Suppose we have $200 to spend on bags and pens. Let each bag cost$10 and each pen cost $2. We need to represent this problem into a mathematical expression. Let we need to buy x bags and y pens to spend this amount. This can be expressed as:$10x + $2y =$200
2. Let 3 times a number is equals to 52. This can be represented as:
3x=52

### Relevant Questions

Find the greatest common divisor (a, b) and integers m and n such that (a, b) = am + bn.
a = 65, b = -91
a.) Explain in your own words what this problem is asking.
b.) Explain the meaning of any notation used in the problem and in your solution.
c.) Describe the mathematical concept(s) that appear to be foundational to this problem.
a.)Explain in your own words what this problem is asking.
b.)Explain the meaning of any notation used in the problem and in your solution.
c.)Describe the mathematical concept(s) that appear to be foundational to this problem.
d.)Justified solution to or proof of the problem.
Find the greatest common divisior of a,b, and c and write it in the form ax+by+cz for integers x,y, and z.
a=26,b=52,c=60
To determine whether caffeine consumption affects the ability to solve math problems, a researcher had one group solve math problems after taking a cup of caffeinated drink and another group solve math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.
A farmer has a vegetable garden which is 35 feet wide by 80 feet long. The farmer wishes to divide the garden equally between tomatoes, peppers, and cabbage. However, the farmer would like to keep a one-foot border around the garden free for a fence. How many square feet can be used for the tomato planting?
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