Question

Her grandmother is sick, so Jane is making a pot of bean soup to bring for dinner. The recipe calls for equal amounts of 3 kinds of beans: kidney, pinto, and black. In all, Jane uses 2 1 4 cups of beans in the soup. Use an equation to find the amount of each kind of bean Jane uses in the soup.

Answer 1

Jane uses 3/4 cup of each kind of bean in the soup

Explanation:

To find the amount of each kind of bean Jane uses in the soup, we can set up an equation based on the given information. Since the recipe calls for equal amounts of kidney, pinto, and black beans, let's assume that Jane uses x cups of each kind of bean.

According to the problem, Jane uses a total of 2 1/4 cups of beans. We can represent this as a fraction: 2 1/4 = 9/4 cups.

Since Jane uses equal amounts of each kind of bean, the total amount of beans used can be calculated by multiplying the amount of each kind of bean (x) by the number of kinds of beans (3). Therefore, the equation becomes:

3x = 9/4

To solve for x, we can divide both sides of the equation by 3:

x = (9/4) / 3

To simplify, we can multiply the numerator and denominator of the fraction by 4:

x = (9/4) * (1/3) = 9/12

Simplifying further, we can divide both the numerator and denominator by 3:

x = 3/4

Therefore, Jane uses 3/4 cup of each kind of bean in the soup.

To summarize:

- The equation to find the amount of each kind of bean Jane uses in the soup is 3x = 9/4.

- Solving for x, we find that Jane uses 3/4 cup of each kind of bean in the soup.

Answer 2

Sure, let's find the amount of each kind of bean Jane uses in the soup. Let's use variables to represent the amounts of kidney beans, pinto beans, and black beans. Let's say the amount of kidney beans is x, the amount of pinto beans is y, and the amount of black beans is z.

According to the information given, the recipe calls for equal amounts of the three kinds of beans. So, we can set up the equation:

x + y + z = 2 1/4

Since the recipe calls for equal amounts, we can also say that x = y = z.

Now we have two equations:

x + y + z = 2 1/4
x = y = z

We can substitute the value of x in terms of y and z into the first equation:

y + z + z = 2 1/4

Simplifying the equation, we get:

2z + y = 2 1/4

This equation can help us find the values of y and z. If you need further assistance or have any more questions, feel free to ask!