(2 points)

Maya needs to buy 10.4 tons of rocks for her landscaping company. Each ton of rocks costs $32.90. The salesperson offers to sell the rocks to Maya for $330.

Is Maya saving money if she agrees to this deal?

How much should Maya actually be charged for the rocks?

1 answer

To determine if Maya is saving money by agreeing to the salesperson's offer, we need to calculate the actual cost of 10.4 tons of rocks based on the given price per ton.

The cost per ton is $32.90. Therefore, to find the total cost for 10.4 tons, we can use the following calculation:

\[ \text{Total cost} = \text{Cost per ton} \times \text{Number of tons} \] \[ \text{Total cost} = 32.90 \times 10.4 \]

Calculating this gives:

\[ \text{Total cost} = 32.90 \times 10.4 = 342.16 \]

So, Maya should actually be charged $342.16 for the rocks.

Now, let's compare this with the salesperson's offer of $330:

\[ \text{Savings} = \text{Actual cost} - \text{Salesperson's offer} \] \[ \text{Savings} = 342.16 - 330 = 12.16 \]

Since the savings is positive, we can conclude that:

Yes, Maya is saving money by agreeing to this deal, and she saves $12.16.