Question

At a candy store, gummy bears are 5.25 per round and jelly beans are 3.90 per pound. david has 1 3/4 pounds of jelly beans in his basket. write and solve an inequality to determine the maximum number of pounds of gummy bears david can buy if he has 15 dollars to spend.

Answer 1

To determine the maximum number of pounds of gummy bears David can buy, set up an inequality and solve for x.

Step-by-step explanation:

To determine the maximum number of pounds of gummy bears David can buy, we can set up an inequality. Let x represent the number of pounds of gummy bears. The cost of gummy bears will be the product of the price per round and the number of rounds, which is 5.25x. The cost of jelly beans is $3.90 per pound, so the cost of jelly beans in David's basket will be 3.90 * 1 3/4. The cost of gummy bears and jelly beans combined cannot exceed $15, so we can write the inequality 5.25x + 3.90 * 1 3/4 ≤ 15.

To solve this inequality, we can first multiply 3.90 and 1 3/4 to get the cost of jelly beans in David's basket. Then we subtract that value from 15. Finally, we divide the result by 5.25 to find the maximum number of pounds of gummy bears David can buy.