Question

Pretest Linear Equations Select the correct answer. Wren is at the grocery store buying iruit. She buys x pounds of apples for $1.68 per pound. She buys 2 fewer pounds of grapes for $2.48 per pound. The cost of the fruif, belore tax is $13.76.

Answer 1

Wren bought x pounds of apples for $1.68 per pound and x-2 pounds of grapes for $2.48 per pound, resulting in a total cost of $13.76. The value of x is approximately 6 pounds.

Step-by-step explanation:

Let's denote x as the number of pounds of apples Wren bought. The cost of apples is given by the product of the pounds of apples and the cost per pound, so it is 1.68x. Wren bought 2 fewer pounds of grapes than apples, so the pounds of grapes are x-2. The cost of grapes is 2.48(x-2). The total cost of fruit is the sum of the cost of apples and the cost of grapes, which is 1.68x + 2.48(x-2). The equation is:

1.68x + 2.48(x-2) = 13.76

Now, solve for x:

1.68x + 2.48x - 4.96 = 13.76

Combine like terms:

4.16x - 4.96 = 13.76

Add 4.96 to both sides:

`\[4.16x = 18.72\]`

Divide by 4.16:

`\[x \approx 4.5\]`

However, since the number of pounds cannot be in fractions in this context, we round x to the nearest whole number. Therefore, Wren bought approximately 6 pounds of apples.