The grocery store sells kumquats for $4.25 a pound and Asian pears for $2 a pound. Write an equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy with $12.
To write the equation, use the prices per pound and the total amount of money the customer has.
Let's assume the customer buys x pounds of kumquats and y pounds of Asian pears.
The equation for the weights can be written as:
4.25x + 2y = 12
Therefore, the equation in standard form is:
4.25x + 2y - 12 = 0
To write an equation in standard form for the weights of kumquats (k) and Asian pears (p) that a customer could buy with $12, we need to consider the cost and the respective weights of each fruit.
Let's assume x pounds of kumquats and y pounds of Asian pears are bought.
The cost of the kumquats can be calculated as:
k * $4.25
The cost of the Asian pears can be calculated as:
p * $2
According to the problem, the total cost of the purchases is $12, so we can write the equation:
4.25k + 2p = 12
This equation represents the relationship between the weights of kumquats and Asian pears and the total cost of $12.