Question

Annabeth has $29 to spend at the sporting goods store. She buys a T-shirt that costs $15. She also wants to buy a soccer ball for $12, a baseball cap for $8, a set of shin guards for $15, or a water bottle for $6. Use the equation $15 + c = $29, where c is the item’s cost, to find the most expensive item Annabeth can buy.

Answer 1

Using the equation $15 + c = $29, after buying a T-shirt for $15, Annabeth can spend up to $14 on another item. The most expensive item that is within her budget is the soccer ball, which costs $12.

Step-by-step explanation:

Annabeth has $29 to spend and wants to know the most expensive item she can buy after purchasing a T-shirt for $15. We can use the equation $15 + c = $29 to find c, the cost of an additional item she can afford. Subtracting the T-shirt price from her total budget gives us:

• $29 - $15 = $14

So, Annabeth has $14 left to spend on an item. Now, we look at the cost of the other items she wants to buy:

• Soccer ball: $12
• Baseball cap: $8
• Set of shin guards: $15
• Water bottle: $6

The most expensive item that costs less than or equal to $14 is the soccer ball at $12.

Therefore, this is the most expensive item Annabeth can buy with her remaining budget.