Question

a certain apprentice has enrolled in 35 hours of training courses. the equation (10s + 15p = 35) represents this situation, where (s) is the number of on-site training courses and (p) is the number of online training courses the apprentice has enrolled in. how many more hours does each online training course take than each on-site training course?

Explanation:

Identify given information

We are given a linear equation modeling training hours:

$$ 12x + 15y = 93 $$

where:

• \(x\) is the number of on-site training courses.
• \(y\) is the number of online training courses.
• The total number of hours is \(93\).

Determine course durations

From the coefficients in the equation:

• Each on-site course \(x\) takes \(12\) hours.
• Each online course \(y\) takes \(15\) hours.

Calculate the difference

The question asks: "How many more hours does each online training course take than each on-site training course?"

• Online course duration: \(15\) hours.
• On-site course duration: \(12\) hours.
• Difference: \(15 - 12 = 3\) hours.

Answer:

How many more hours does each online training course take than each on-site training course? <blank>3</blank>