A Pound Of Raisins Costs $ 2.00 \$2.00 $2.00 , And A Pound Of Almonds Costs $ 5.00 \$5.00 $5.00 . Six Pounds Of A Trail Mix Contains 2 More Pounds Of Raisins Than Almonds. What Is The Cost Of The 6 Pounds Of Trail Mix?A. $ 7.00 \$7.00 $7.00 B.

Introduction

When it comes to trail mix, the combination of sweet and savory ingredients can be a perfect blend of flavors and textures. However, the cost of these ingredients can be a significant factor in determining the overall price of the trail mix. In this article, we will delve into the world of trail mix and explore the cost of a 6-pound mix, given the prices of raisins and almonds.

The Cost of Raisins and Almonds

Let's start by examining the prices of raisins and almonds. A pound of raisins costs $\$2.00$, while a pound of almonds costs $\$5.00$. These prices are crucial in determining the cost of the trail mix.

The Trail Mix Equation

We are told that six pounds of trail mix contains 2 more pounds of raisins than almonds. Let's represent the number of pounds of almonds as $x$. Then, the number of pounds of raisins is $x + 2$. Since the total weight of the trail mix is 6 pounds, we can set up the following equation:

$$x + (x + 2) = 6$$

Solving the Equation

To solve for $x$, we can combine like terms and isolate the variable:

$$2x + 2 = 6$$

Subtracting 2 from both sides gives us:

$$2x = 4$$

Dividing both sides by 2 yields:

$$x = 2$$

The Cost of the Trail Mix

Now that we know the number of pounds of almonds ($x = 2$), we can calculate the number of pounds of raisins ($x + 2 = 4$). The cost of the almonds is $\$5.00$ per pound, so the total cost of the almonds is:

$$2 \times \$5.00 = \$10.00$$

The cost of the raisins is $\$2.00$ per pound, so the total cost of the raisins is:

$$4 \times \$2.00 = \$8.00$$

The Total Cost of the Trail Mix

To find the total cost of the trail mix, we add the cost of the almonds and the cost of the raisins:

$$\$10.00 + \$8.00 = \$18.00$$

Conclusion

In conclusion, the cost of the 6-pound trail mix is $\$18.00$. This is a significant cost, considering the prices of raisins and almonds. However, the combination of these ingredients creates a delicious and satisfying snack that is worth the cost.

Frequently Asked Questions

• What is the cost of a pound of raisins?
• A pound of raisins costs $\$2.00$.
• What is the cost of a pound of almonds?
• A pound of almonds costs $\$5.00$.
• How many pounds of almonds are in the trail mix?
• There are 2 pounds of almonds in the trail mix.
• How many pounds of raisins are in the trail mix?
• There are 4 pounds of raisins in the trail mix.
• What is the total cost of the trail mix?
• The total cost of the trail mix is $\$18.00$.

Final Thoughts

In this article, we explored the cost of a 6-pound trail mix, given the prices of raisins and almonds. We set up an equation to represent the weight of the trail mix and solved for the number of pounds of almonds. We then calculated the cost of the almonds and the cost of the raisins and added them together to find the total cost of the trail mix. The result is a delicious and satisfying snack that is worth the cost.

Introduction

When it comes to trail mix, the combination of sweet and savory ingredients can be a perfect blend of flavors and textures. However, the cost of these ingredients can be a significant factor in determining the overall price of the trail mix. In this article, we will delve into the world of trail mix and explore the cost of a 6-pound mix, given the prices of raisins and almonds.

The Cost of Raisins and Almonds

Let's start by examining the prices of raisins and almonds. A pound of raisins costs $\$2.00$, while a pound of almonds costs $\$5.00$. These prices are crucial in determining the cost of the trail mix.

The Trail Mix Equation

We are told that six pounds of trail mix contains 2 more pounds of raisins than almonds. Let's represent the number of pounds of almonds as $x$. Then, the number of pounds of raisins is $x + 2$. Since the total weight of the trail mix is 6 pounds, we can set up the following equation:

$$x + (x + 2) = 6$$

Solving the Equation

To solve for $x$, we can combine like terms and isolate the variable:

$$2x + 2 = 6$$

Subtracting 2 from both sides gives us:

$$2x = 4$$

Dividing both sides by 2 yields:

$$x = 2$$

The Cost of the Trail Mix

Now that we know the number of pounds of almonds ($x = 2$), we can calculate the number of pounds of raisins ($x + 2 = 4$). The cost of the almonds is $\$5.00$ per pound, so the total cost of the almonds is:

$$2 \times \$5.00 = \$10.00$$

The cost of the raisins is $\$2.00$ per pound, so the total cost of the raisins is:

$$4 \times \$2.00 = \$8.00$$

The Total Cost of the Trail Mix

To find the total cost of the trail mix, we add the cost of the almonds and the cost of the raisins:

$$\$10.00 + \$8.00 = \$18.00$$

Conclusion

In conclusion, the cost of the 6-pound trail mix is $\$18.00$. This is a significant cost, considering the prices of raisins and almonds. However, the combination of these ingredients creates a delicious and satisfying snack that is worth the cost.

Frequently Asked Questions

Q: What is the cost of a pound of raisins?

A: A pound of raisins costs $\$2.00$.

Q: What is the cost of a pound of almonds?

A: A pound of almonds costs $\$5.00$.

Q: How many pounds of almonds are in the trail mix?

A: There are 2 pounds of almonds in the trail mix.

Q: How many pounds of raisins are in the trail mix?

A: There are 4 pounds of raisins in the trail mix.

Q: What is the total cost of the trail mix?

A: The total cost of the trail mix is $\$18.00$.

Q: What is the ratio of almonds to raisins in the trail mix?

A: The ratio of almonds to raisins is 2:4 or 1:2.

Q: What is the total weight of the trail mix?

A: The total weight of the trail mix is 6 pounds.

Q: What is the cost per pound of the trail mix?

A: The cost per pound of the trail mix is $\$3.00$.

Final Thoughts

In this article, we explored the cost of a 6-pound trail mix, given the prices of raisins and almonds. We set up an equation to represent the weight of the trail mix and solved for the number of pounds of almonds. We then calculated the cost of the almonds and the cost of the raisins and added them together to find the total cost of the trail mix. The result is a delicious and satisfying snack that is worth the cost.

Additional Resources

• Trail Mix Recipe
• Nutrition Facts for Trail Mix
• Trail Mix Variations

Conclusion

In conclusion, the cost of the 6-pound trail mix is $\$18.00$. This is a significant cost, considering the prices of raisins and almonds. However, the combination of these ingredients creates a delicious and satisfying snack that is worth the cost.