Question

Use equations and inequalities to solve the following word problems.

3. Max is selling boxes of chocolate for a school fundraiser. He sold 12 boxes and earned $84. If all of the boxes have the same cost, how much does each box cost?

4. Anne donates at least $120 per month to charity. She has 4 favorite charities and divides her donations equally among them. How much does Anne donate to each of her favorite charities per month?

Answer 1

To find the cost of each box, we solve an equation: 12x = 84. To find the amount Anne donates to each charity, we set up an inequality: y ≥ 120/4.

Step-by-step explanation:

To solve the word problems, we can use equations or inequalities depending on the situation.

Question 3:

We are given that Max sold 12 boxes and earned $84. Let's assume the cost of each box is x dollars. The equation representing the given information is 12x = 84. To find the value of x, we divide both sides of the equation by 12: x = 84 / 12 = 7 dollars. Therefore, each box costs $7.

Question 4:

Anne donates at least $120 per month and divides her donations equally among 4 favorite charities. Let's assume the amount Anne donates to each charity is y dollars. The inequality representing the given information is y ≥ 120/4 = 30. Therefore, Anne donates at least $30 to each of her favorite charities per month.

Answer 2

3. Cost of each box = $84/12 = $7

4. Donation to each charity = $120/4 = $30

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