Question

select all of the stories that can be represented by the equation. if none of the stories can be represented, select
one of the above\. (a) $x - 5 = 25$ a tray has $x$ eggs. another tray has 5 eggs. together, the two trays have 25 eggs. shen had $x$ eggs in his refrigerator. then he used 5 of them for his cake recipe. he now has 25 eggs left in the refrigerator. shen uses 5 eggs to make a cake. he wants to make $x$ cakes. he needs 25 eggs. shen had $x$ eggs. then he gave his friend 5 eggs. shen now has 25 eggs. none of the above

Explanation:

Step1: Analyze first story

The first story: A tray has \( x \) eggs, another has 5, total 25. The equation should be \( x + 5 = 25 \), not \( x - 5 = 25 \). So this is incorrect.

Step2: Analyze second story

Second story: Shen had \( x \) eggs, used 5, left with 25. The equation is \( x - 5 = 25 \), which matches. So this is correct.

Step3: Analyze third story

Third story: 5 eggs per cake, \( x \) cakes need 25 eggs. Equation is \( 5x = 25 \), not \( x - 5 = 25 \). Incorrect.

Step4: Analyze fourth story

Fourth story: Shen had \( x \) eggs, gave 5, now has 25. Equation is \( x - 5 = 25 \), which matches. Correct.

Step5: Analyze "None of the above"

Since second and fourth stories match, "None of the above" is incorrect.

Answer:

The correct stories are:

• Shen had \( x \) eggs in his refrigerator. Then he used 5 of them for his cake recipe. He now has 25 eggs left in the refrigerator.
• Shen had \( x \) eggs. Then he gave his friend 5 eggs. Shen now has 25 eggs.