the grocery store sells kumquats for $4.75 a pound and Asian pears $2.25 a pound. write an equation in standard form for the weights of kumquats k and Asain pears p that a customer could buy with $22.
To write the equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy with $22, we need to find the possible combinations of weights for the two fruits within the given budget.
Let's assume the weight of kumquats is represented by k in pounds, and the weight of Asian pears is represented by p in pounds.
The cost of buying k pounds of kumquats would be: $4.75/k * k = $4.75k
The cost of buying p pounds of Asian pears would be: $2.25/p * p = $2.25p
According to the problem, the total amount spent on kumquats and Asian pears should be $22, so we can write the equation:
$4.75k + $2.25p = $22
To convert this equation into standard form, we need to eliminate the decimals and move all the terms to one side by subtracting $22 from both sides:
$4.75k + $2.25p - $22 = 0
Multiplying through by 100 to eliminate the decimals:
475k + 225p - 2200 = 0
Thus, the equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy with $22 is: 475k + 225p - 2200 = 0.