Question

Mrs. Santos and Mrs. Tan gave their students candies last Children's Day. After Mrs. Santos had given 250 candies and Mrs. Tan had given 120 candies to their students, Mrs. Tan had 6 times as many candies left as Mrs. Santos. Both teachers had an equal number of candies in the beginning. How many candies had Mrs. Tan left in the end?

Answer 1

Concept:

Polynomials are the type of algebraic expressions that contains both variables and coefficients. Variables are those terms that can have different values and coefficients are those terms which are written with the variable.

In an polynomial, the expression does not have a negative exponent. Also the polynomial only involves the basic operation of mathematics that is addition, subtraction, multiplication and division.

Given:

We are given that:

Mrs. Santos had given 250 candies and Mrs. Tan had given 120 candies to their students.

Mrs. Tan had 6 times as many candies left as Mrs. Santos.

Both teachers had an equal number of candies in the beginning.

Find:

We need to find that how many candies had Mrs. Tan left in the end.

Solution:

Let the number of candies at the beginning be x.

Now ATQ:

Candies left with Mrs. Santos = x - 250.

Candies left with Mrs. Tan = x - 120.

Also,

x - 120 = 6( x - 250)

= x - 120 = 6x - 1500

5x = 1380

x = 276.

Candies left with Mrs. Tan = 276 - 120 = 156

Therefore, in the end, Mrs. Tan had 156 candies left.

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Answer 2

Answer:

Concept:

The word polynomial is derived from the Greek words 'poly' means 'many' and 'nominal' means 'terms', so altogether it said "many terms". A polynomial can have any number of terms but not infinite.

Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication and also positive integer exponents for polynomial expressions but not division by variable.

Find:

We have find the how many candies had Mrs. Tan left in the end.

Given:

Mrs. Santos and Mrs. Tan gave their students candies last Children's Day. After Mrs. Santos had given 250 candies and Mrs. Tan had given 120 candies to their students, Mrs. Tan had 6 times as many candies left as Mrs. Santos. Both teachers had an equal number of candies in the beginning.

Step-by-step explanation:

Let the number of candies at the beginning be x.

Then,

Candies left with Mrs. Santos = x - 250.

Candies left with Mrs. Tan = x - 120.

X-120=6(x-250)

x-120 = 6x - 1500

5x = 1380

X = 276.

Candies left with Mrs. Santos = 276 - 250.

Candies left with Mrs. Santos = 26

Candies left with Mrs. Tan = 276-120

Candies left with Mrs. Tan = 156

Hence, the end Mrs. Tan had 156 candies left.

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