sarika distributes chocolates on the occasion of children's dAY. She gives 5 chocolates to each child and 20 to adults. if the number of children is represented by x and the total distributed by y then write in the form of a linear equation in two variables and if she distributed 145 chocolates in total find the number of children

To model Sarika's chocolate distribution, we can define the following:

- Let \( x \) represent the number of children.
- Let \( y \) represent the total number of chocolates distributed.
- The number of adults, based on the problem setup, would be represented by a constant or another variable, but since it isn't provided, let's infer from the information we have.

Sarika gives:
- 5 chocolates to each child,
- 20 chocolates to each adult.

The linear equation that represents the total number of chocolates distributed, based on the number of children and adults, can be written as:

\[
y = 5x + 20a
\]

where \( a \) represents the number of adults.

### If Sarika distributes 145 chocolates in total:

Now, if \( y = 145 \), and we need to find the number of children when only the total number of chocolates is given, but not the number of adults, we can infer \( a \) (adults) based on some additional context (like real numbers or constraints).

Could you clarify if the number of adults (or an assumption about them) is known? This would help finalize the exact number of children \( x \).

Alternatively, would you like me to continue based on common assumptions (such as a standard number of adults)? 

Let me know! 

Meanwhile, here are some related questions to explore:

1. What is the standard method to solve a system of linear equations with two variables?
2. How can we determine the number of adults if the total number of children and chocolates is known?
3. How would the equation change if each adult received a different number of chocolates?
4. What happens to the number of children if the number of chocolates distributed to adults increases?
5. How can we graph this equation to visually represent the relationship between chocolates and children?

**Tip:** Always check if any values are missing before setting up your equations in two variables.

Sarika distributes chocolates on the occasion of Children's Day. She gives 5 chocolates to each child and 20 to adults. If the number of children is represented by x and the total distributed by y, write it in the form of a linear equation in two variables. If she distributed 145 chocolates in total, find the number of children.

Solve Sarika's chocolate distribution problem using a linear equation in two variables. Learn how to calculate the number of children given the total chocolates distributed (145), with detailed algebraic steps. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation