Charity is buying peaches at the store. The cost of the peaches are $1.30 per pound. If she has $6.50 to spend on peaches, how many pounds (x) can she buy?

Question

Set up an equation to solve the problem.
A.
1.30x=6.50
B.
1.30+x=6.50
C. 1.30/6.50 =x
D.
6.50x=1.30

Answer 1

To determine how many pounds of peaches Charity can buy with her budget, we need to set up an equation where the total cost of the peaches equals her budget.

The cost of peaches is $1.30 per pound, and she has $6.50 to spend. The equation should relate the cost of the peaches based on the number of pounds she can buy (x).

The correct setup for this equation is:

A. \( 1.30x = 6.50 \)

This equation states that the total cost of x pounds of peaches at $1.30 per pound is equal to her total budget of $6.50.

To solve for x, you would divide both sides of the equation by 1.30:

\[ x = \frac{6.50}{1.30} \]

So, option A is the correct choice.

Answer 2

u sure?

Answer 3

Yes, I can confirm that option A is correct.

Let's go through the reasoning again step-by-step:

1. Cost per pound: The peaches cost $1.30 per pound.
2. Total budget: Charity has $6.50 to spend.
3. Variable: Let \( x \) be the number of pounds of peaches she can buy.

To write an equation that represents the total cost of the peaches:

• The total cost of \( x \) pounds of peaches is given by \( 1.30 \times x \).
• This cost should equal her budget of $6.50.

Thus, the correct equation is:

\[ 1.30x = 6.50 \]

So, option A \( 1.30x = 6.50 \) is indeed the correct choice for setting up the equation to find how many pounds of peaches Charity can buy. If you solve this equation by dividing both sides by 1.30, you will find the value of \( x \).

If you have any further questions or need clarification, feel free to ask!