Question

Marie has 56 and would like to buy a new pair of pants and a blouse. The pants cost 28, and the blouse costs b dollars. Unfortunately, Marie does not have enough money to buy the outfit. Which inequality and solution could be used to represent this situation?

1) 28 + b > 56; b > 28
2) 28 + b < 56; b < 28
3) 28 + b = 56; b = 28
4) 28 + b = 56; b > 28

Answer 1

To represent Marie's situation, we use the inequality 28 + b > 56 where b represents the cost of the blouse. The correct solution is b > 28.

Step-by-step explanation:

To represent Marie's situation, we need to consider her budget and the cost of the pants and blouse. Marie has $56, and the pants cost $28. Let's represent the cost of the blouse as 'b'. Since Marie doesn't have enough money to buy the outfit, we can use the inequality 28 + b > 56 to represent the situation. This means that the combined cost of the pants and blouse must be greater than $56. To find the solution, we solve the inequality for 'b': 28 + b > 56. Subtracting 28 from both sides gives us 'b > 28'. Therefore, the correct inequality and solution are option 1) 28 + b > 56; b > 28.