Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least 20 cookies but no more than 55. Solve the inequality and interpret the solution.

20 ≤ x + 15 ≤ 55

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Question:

Walter is helping to make cookies for a basketball tournament. He's made 15 cookies so far. His coach asked him to make at least 20 cookies but no more than 55. Solve the inequality and interpret the solution.

Answer:

Walter needs to make at least 5 more cookies but no more than 40.

The inequality is 5 ≥ x ≥ 40

Solution:

Number of cookies walter cooked so far = 15

Assume that he needs to cook "x" more cookies, so total number of cookies he would cook will be (x + 15)

His coach asked him to make at least 20 cookies but no more than 55.

So we can represent the above sentence as:

20 ≤ Cookies to Cook ≤ 55

20 ≤ x + 15 ≤ 55

Subtracting 15, from both sides, we get:

5 ≤ x ≤ 40

So x can be less than or equal to 40 and x can be greater than or equal to 5

This means, x can be atleast 5 and atmost 40

Therefore Walter needs to make at least 5 more cookies but no more than 40.

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