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?

Answer 1

To determine if Maya is saving money, we first need to calculate the cost of 10.4 tons of rocks at the price of $32.90 per ton.

1. Calculate the total cost of the rocks:

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

   \[ \text{Total Cost} = 342.16 , \text{dollars} \]

2. Compare the total cost to the offer from the salesperson:

   The salesperson is offering to sell the rocks for $330.

3. Determine if Maya is saving money:

   \[ \text{Savings} = \text{Total Cost} - \text{Salesperson Offer} \] \[ \text{Savings} = 342.16 - 330 = 12.16 , \text{dollars} \]

Since the total cost of the rocks (342.16 dollars) is greater than the salesperson's offer (330 dollars), Maya is saving $12.16 by accepting the offer.

To summarize:

• Total cost for 10.4 tons at $32.90/ton: $342.16
• Salesperson's offer: $330
• Maya's savings: $12.16