From the given statement form the equations9 tomatoes and 4 mushrooms will cost 76 dollars

1. Break Down the Problem

We need to form an equation based on the costs of tomatoes and mushrooms. Let's define two variables:

• Let $T$ be the cost of one tomato.
• Let $M$ be the cost of one mushroom.

From the statement, we can gather the following information:

• The cost of 9 tomatoes and 4 mushrooms is 76 dollars.

2. Relevant Concepts

The relationship between the cost of tomatoes and mushrooms can be expressed in the form of a linear equation: $9T + 4M = 76$

3. Analysis and Detail

The equation $9T + 4M = 76$ explains that if you multiply the cost of a tomato by 9 and the cost of a mushroom by 4, the total will equal 76 dollars. However, there is only one equation with two unknowns, which means we cannot find unique values for $T$ and $M$ without additional information.

4. Verify and Summarize

The equation $9T + 4M = 76$ is valid based on the given information. We can express one variable in terms of the other if needed. For example, $T$ can be expressed as: $T = \frac{76 - 4M}{9}$ This indicates that there are infinitely many combinations of $T$ and $M$ that satisfy the equation.

Final Answer

The equation that represents the cost relationship is: $9T + 4M = 76$