Sue decides to collect postcards. She starts her collection with seven cards. Every week, she buys three more cards to add to her collection. How many weeks will it take her to have more than 30 cards?

11
7
8
30

Can somone help me figure out the equation for this?

7+3x=30?

8 weeks?

Yes, 8 weeks\

Wouldn't the correct equation be 7+3x>30? Because it is asking how many weeks it would take to have MORE than 30 not equals 30...?

Yes, that's the correct equation. What is the answer to the problem?

To determine how many weeks it will take for Sue to have more than 30 cards, we can set up an equation by using the information given.

We know that Sue starts with 7 cards and buys 3 more cards every week. So, the number of cards she has after each week can be represented by the equation:

Cards = 7 + 3w

Where w represents the number of weeks.

To find out the number of weeks it will take for Sue to have more than 30 cards, we can solve the inequality:

Cards > 30

Substituting the equation for Cards, we get:

7 + 3w > 30

Subtract 7 from both sides of the inequality:

3w > 23

Divide both sides of the inequality by 3:

w > 7.67

Since we can't have a fraction of a week, we can round up to the next whole number. Therefore, it will take Sue 8 weeks to have more than 30 cards.

So, the correct answer is 8.