Questions: A baseball coach bought 32 new baseballs for 13 each. The basketball coach bought 16 basketballs for 15 each. Which coach spent more money and by how much?

Solution Steps

To determine which coach spent more money and by how much, we need to calculate the total cost for each coach. Multiply the number of baseballs by the cost per baseball to find the total cost for the baseball coach. Similarly, multiply the number of basketballs by the cost per basketball to find the total cost for the basketball coach. Then, compare the two totals to find out which is greater and calculate the difference.

The total cost for the baseball coach can be calculated as follows: \[ \text{Total Cost}_{\text{baseballs}} = \text{Number of Baseballs} \times \text{Cost per Baseball} = 32 \times 13 = 416 \]

The total cost for the basketball coach is calculated as: \[ \text{Total Cost}_{\text{basketballs}} = \text{Number of Basketballs} \times \text{Cost per Basketball} = 16 \times 15 = 240 \]

Now, we compare the total costs: \[ \text{Total Cost}_{\text{baseballs}} = 416 \quad \text{and} \quad \text{Total Cost}_{\text{basketballs}} = 240 \] Since \( 416 > 240 \), the baseball coach spent more money.

To find out by how much the baseball coach spent more, we calculate: \[ \text{Difference} = \text{Total Cost}_{\text{baseballs}} - \text{Total Cost}_{\text{basketballs}} = 416 - 240 = 176 \]

Final Answer