Question

fuji apples cost $3.00 per pound, and golden delicious apples cost $2.00 per pound. a childcare center purchases 30 pounds of a combination of the two types of apples for a total of $80.

apples	pounds	cost per pound	total
golden delicious	$g$	2
total	30		80

which value could replace $x$ in the table?

• $3(30 - g)$
• $30 - g + 3$
• $30 - g + g$
• $30 - g(3)$

Explanation:

Step1: Recall Total Cost Formula

Total cost for a type of apple is calculated by multiplying the number of pounds by the cost per pound. For Fuji apples, the number of pounds is \( 30 - g \) and the cost per pound is \( 3 \).

Step2: Calculate Total Cost for Fuji

Using the formula \( \text{Total Cost} = \text{Pounds} \times \text{Cost per Pound} \), we substitute the values for Fuji apples. So, \( x=(30 - g)\times3 \), which can also be written as \( 3(30 - g) \).

Answer:

\( 3(30 - g) \) (the first option)