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?

How much should Maya actually be charged for the rocks?

Answer 1

To calculate how much Maya should actually be charged for the rocks, we need to multiply the cost per ton by the number of tons she needs to buy.

1. Calculate the total cost for 10.4 tons of rocks: \[ \text{Total cost} = \text{Number of tons} \times \text{Cost per ton} \] \[ \text{Total cost} = 10.4 \text{ tons} \times 32.90 \text{ dollars/ton} = 342.16 \text{ dollars} \]

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

2. Check the salesperson's offer: The salesperson offers to sell the rocks for $330.

3. Calculate the difference to find out if Maya is saving money: \[ \text{Savings} = \text{Actual cost} - \text{Salesperson's offer} \] \[ \text{Savings} = 342.16 - 330 = 12.16 \]

Maya is saving $12.16 if she agrees to the salesperson's offer of $330.