Question

(a) ( x + 5 = 30 )

• dante uses 5 eggs to make a cake. he wants to make ( x ) cakes.
• dante had ( x ) eggs. then his friend gave him 5 eggs. dante now has 30 eggs.
• a tray has ( x ) eggs. another tray has 30 eggs. together, the two trays have 5 eggs.
• dante had ( x ) eggs. then he gave his friend 5 eggs. dante now has 30 eggs.
• none of the above

Explanation:

Step1: Analyze each option

• Option 1: Dante uses 5 eggs to make a cake, wants to make x cakes, needs 30 eggs. The equation here would be \(5x = 30\), not \(x + 5 = 30\).
• Option 2: Dante had x eggs, friend gave him 5, now has 30. The equation is \(x + 5 = 30\), which matches.
• Option 3: A tray has x eggs, another has 30, total 5. Equation: \(x + 30 = 5\), not matching.
• Option 4: Dante had x eggs, gave friend 5, now has 30. Equation: \(x - 5 = 30\), not matching.
• Option 5: "None of the above" is incorrect as Option 2 matches.

Step2: Confirm the correct option

The situation in Option 2 (Dante had x eggs. Then his friend gave him 5 eggs. Dante now has 30 eggs) translates to the equation \(x + 5 = 30\).

Answer:

Dante had x eggs. Then his friend gave him 5 eggs. Dante now has 30 eggs. (The second option from the left)