Question

During the fall, the deli counter in a grocery store offers a rice blend made of wild rice costing $6.80 per pound and long grain brown rice costing $3.30 per pound. Overall, the blend costs $5.05 per pound. If an employee has already measured out 57 pounds of wild rice, how many pounds of long grain brown rice should she add to make the blend?

Answer 1

To find out how many pounds of long grain brown rice should be added to make the blend, set up an equation based on the given information. Simplify the equation and solve for x, then calculate the value of x to determine the pounds of long grain brown rice to add.

Step-by-step explanation:

To find out how many pounds of long grain brown rice should be added to make the blend, we can set up an equation based on the given information.

Let x be the number of pounds of long grain brown rice.

According to the question, the cost of the blend is $5.05 per pound. So, we can set up the following equation:

($6.80 * 57) + ($3.30 * x) = $5.05 * (57 + x)

Simplifying the equation, we get:

387.6 + 3.30x = 287.85 + 5.05x

Combining like terms, we get:

1.75x = 99.75

Dividing both sides by 1.75, we get:

x = 57

Therefore, 57 pounds of long grain brown rice should be added to make the blend.