7.

Question

The grocery store sells kumquats for $3.75 a pound and Asian pears for $2.25 a pound. Write an equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy with $14.

Answer 1

To write an equation in standard form for the weights of kumquats (\(k\)) and Asian pears (\(p\)) that a customer could buy with $14, we first need to set up the cost equation based on the prices given.

The price of kumquats is $3.75 per pound and the price of Asian pears is $2.25 per pound. The total cost for purchasing \(k\) pounds of kumquats and \(p\) pounds of Asian pears must equal $14. Therefore, we can write the equation as:

\[ 3.75k + 2.25p = 14 \]

To put this equation in standard form (Ax + By = C), we will eliminate the decimals by multiplying the entire equation by 100:

\[ 375k + 225p = 1400 \]

So the equation in standard form is:

\[ 375k + 225p = 1400 \]