trey paid $42 for 2/3 tons of concrete.He wants to know the price of 3 tons of concrete.At that rate what is the price of 3 tons of concrete

To find the price of 3 tons of concrete, we first need to determine the price per ton based on what Trey paid for $\frac{2}{3}$ tons.

### Step 1: Find the price per ton
Trey paid $42 for $\frac{2}{3}$ tons of concrete. The price per ton (P) can be found using the equation:

\[
P = \frac{\text{Total Cost}}{\text{Quantity in Tons}} = \frac{42}{\frac{2}{3}} 
\]

To divide by a fraction, multiply by its reciprocal:

\[
P = 42 \times \frac{3}{2} = \frac{42 \times 3}{2} = \frac{126}{2} = 63 \text{ dollars per ton}
\]

### Step 2: Find the price for 3 tons
Now that we know the price per ton, we can find the price for 3 tons:

\[
\text{Price for 3 tons} = 63 \times 3 = 189 \text{ dollars}
\]

So, the price of 3 tons of concrete at that rate is **$189**.

Would you like more details on this calculation or have any other questions?

Here are some related questions to consider:

1. What would be the price for 5 tons of concrete at this rate?
2. If Trey had bought 1 ton of concrete, how much would he have paid?
3. What would be the price for $\frac{1}{2}$ ton of concrete?
4. How much concrete could Trey buy with $105 at this rate?
5. If the price per ton increases by 20%, what would be the new price for 3 tons of concrete?
6. How many tons of concrete can Trey buy with $84 at the original rate?
7. What is the price for $\frac{3}{4}$ tons of concrete?
8. If Trey had a budget of $250, how many tons of concrete could he buy at the original rate?

**Tip:** When working with proportions, always determine the unit rate first; this makes it easier to calculate other quantities.

Learn how to calculate the price of 3 tons of concrete at a given rate based on the price paid for 2/3 tons of concrete. This problem involves fractions and division of fractions to determine the unit price per ton and the total cost for 3 tons. Suitable for Grades 6-8.

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