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.

Question

Is Maya saving money if she agrees to this deal?

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.

Cost calculation: \[ \text{Cost} = \text{Price per ton} \times \text{Number of tons} = 32.90 \times 10.4 \]

Calculating: \[ 32.90 \times 10.4 = 342.16 \]

So, the total cost for 10.4 tons of rocks at $32.90 per ton is $342.16.

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

Now, we need to find out if Maya is saving money: \[ \text{Savings} = \text{Original Cost} - \text{Salesperson's Price} = 342.16 - 330 = 12.16 \]

Since the result is positive ($12.16), this means Maya is saving money by agreeing to the salesperson’s deal.

Conclusion: Yes, Maya is saving money if she agrees to this deal. She will save $12.16.

Answer 2

How much should Maya actually be charged for the rocks?

Answer 3

Maya should actually be charged based on the cost of 10.4 tons of rocks at the price of $32.90 per ton.

As calculated previously:

\[ \text{Number of tons} = 10.4 \text{ tons} \] \[ \text{Price per ton} = 32.90 \text{ dollars} \]

To find the total cost, we multiply these two values:

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

Calculating this gives:

\[ 32.90 \times 10.4 = 342.16 \]

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