The grocery store sells kumquats for $4.50 a pound and Asian pears for $3.75 a pound. Write an equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy with $16.

Question

4.5p + 3.75k = 16

4.5k = 3.75p + 16

4.5 + 3.75 = k

4.5k + 3.75p = 16

Answer 1

To write an equation in standard form for the weights of kumquats \( k \) (in pounds) and Asian pears \( p \) (in pounds) that a customer can buy for $16, we need to relate the weights to their prices.

The price per pound for kumquats is $4.50, so for \( k \) pounds, the cost is \( 4.5k \).

The price per pound for Asian pears is $3.75, so for \( p \) pounds, the cost is \( 3.75p \).

The total cost must equal $16, leading us to the equation:

\[ 4.5k + 3.75p = 16 \]

This is already in standard form. Therefore, the correct answer is:

4.5k + 3.75p = 16