Mr. Lin baked banana bread for a bake sale to raise money for the math team. He said that he added a spoonful of walnuts for each of the students in his three classes, and that he added more than 250 walnuts. He used the inequality 16w + 24w + 10w > 250 to represent the situation, where w represents the number of walnuts in each spoonful. How many walnuts could be in each spoonful?

Question

Mr. Lin baked banana bread for a bake sale to raise money for the math team. He said that he added a spoonful of walnuts for each of the students in his three classes, and that he added more than 250 walnuts. He used the inequality 16w + 24w + 10w > 250 to represent the situation, where w represents the number of walnuts in each spoonful. How many walnuts could be in each spoonful?

Answer 1

50 w > 250

so
w > 50

Answer 2

To find out how many walnuts could be in each spoonful, we need to solve the inequality 16w + 24w + 10w > 250 for w, where w represents the number of walnuts in each spoonful.

Step 1: Combine like terms on the left side of the inequality:
16w + 24w + 10w = 50w

Step 2: Rewrite the inequality with the combined like terms on the left side:
50w > 250

Step 3: Divide both sides of the inequality by 50:
w > 5

The solution to the inequality is w > 5. This means that there can be more than 5 walnuts in each spoonful. Since Mr. Lin said that he added more than 250 walnuts, there could be any number of walnuts in each spoonful as long as it is greater than 5.