Question

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?
Set up an equation to solve the problem.
• А. 1.30x=6.50
• В. 1.30+x=6.50
• с. 1.30/ 6.50 =x
• D. 6.50x=1.30

Answer 1

A student solved an equation, as shown below.
1/4(8-12x) =x-2(2x+1)
2-3x =x-4x+2
2-3x=-3x+2
2-3x+3x =-3x+3x+2
2 = 2
Based on the student's work, complete the statement below.
Use the drop-down menus to make the statement below true.
The student solved the equation
"
because the original equation has

Correctly, Incorrectly

Answer 2

No the options for the last one is

Infinite
One solution
No solution

Answer 3

To find out how many pounds of peaches Charity can buy with her budget, we can set up an equation. The cost of the peaches per pound is $1.30, and the total amount of money she has is $6.50.

We want to find the number of pounds \( x \) she can buy, so we can set up the following equation:

\[
1.30x = 6.50
\]

This means that the cost of \( x \) pounds of peaches (at $1.30 per pound) equals her total budget of $6.50.

Thus, the correct option is **A. 1.30x = 6.50**.

Answer 4

The student solved the equation correctly because the original equation has an identity.

In this case, the simplified equation \( 2 = 2 \) holds true for all values of \( x \), indicating that there are infinitely many solutions to the original equation.

Thus, the completed statement is:

"The student solved the equation **correctly** because the original equation has an **identity**."

Answer 5

Thank you for the clarification!

Based on the student's work, since the equation simplifies to \( 2 = 2 \), which is a true statement that holds for all values of \( x \), it indicates that there are infinitely many solutions.

Thus, the completed statement is:

"The student solved the equation **correctly** because the original equation has **infinite** solutions."