Question

Jeanette obtained 32% for her statistics test, which was out of a total of 300 marks. How much should she score in the computer science test that is out of 200 marks in total if she is to get a proportionally weighted average of 46%?

Answer 1

Using weighted average, it is found that she should score 67% on the computer science test.

• The weighted average is given by each proportion multiplied by it's score.

In this problem, the proportions and scores are given by:

• Proportion of 32% = 0.32 for a score of 300.
• Proportion of x for a score of 200.
• Proportion of 46% = 0.46 for a score of 300 + 200 = 500.

Then

$0.32(300) + 200x = 0.46(500)$

$200x = 0.46(500) - 0.32(300)$

$200x = 134$

$x = \frac{134}{200}$

$x = 0.67$

She should score 67% on the computer science test.

A similar problem is given at brainly.com/question/24855677