Question

Cookies cost $3 each, and candies cost $2 each. Tim has

$25. Which inequality represents the number of cookies, x,
and the number of candies, y, that Tim can buy?

Answer 1

The inequality representing the number of cookies, x, and the number of candies, y, Tim can buy with $25 is 3x + 2y ≤ 25. This inequality ensures that the combined cost of cookies and candies doesn't exceed Tim's budget.

Step-by-step explanation:

To represent the inequality based on the problem statement given, we first need to consider how many cookies and candies Tim can purchase with his $25. We are given that cookies cost $3 each, and candies cost $2 each. Now we need to express these costs in terms of the number of cookies, x, and the number of candies, y, that Tim can buy. Since Tim has a total of $25 to spend, the cost of the cookies and candies combined cannot exceed this amount.

The inequality representing Tim's purchasing options would look like this:

3x + 2y ≤ 25

Here, 3x represents the total cost of the cookies, and 2y represents the total cost of the candies. Tim can buy any combination of cookies and candies as long as the total cost does not exceed $25, which is represented by the inequality ≤ (less than or equal to).

Answer 2

8x < 12y

Step-by-step explanation:

If you divide 25 by 3, you get 8.3333... (the threes go on forever), which you can round to 8, because little Timmy isn't going to buy .3 of a cookie. If you divide 25 by 2, you get 12.5, which you round down to 12. I know you normally don't round 5 down, but we are talking about food here.

Therefore, Tim can buy less cookies than candies. He can buy 8 cookies, and 12 candies.

Either way, Timmy's gonna be fat.