Question

Marisol keeps track of her weekly quiz grades as shown in the table.

Answer 1

You are given such table:

$\begin{array}{cccc} \text{Test} & \text{Number Correct} & \text{Score} & \text{Total}\\ \text{Math} & 68 & __ & 85 \\ \text{Science} & __ & 90\% & 70\end{array}$

You have to fill the gaps.

1. Consider the proportion for Math

85 - 100%

68 - x%.

Then

$\dfrac{85}{68}=\dfrac{100}{x},\\ \\x=\dfrac{68\cdot 100}{85}=\dfrac{6800}{85}=80$

The score of math test is 80%.

Consider next proportion for Science

70 - 100%

y - 90%.

Then

$\dfrac{70}{y}=\dfrac{100}{90},\\ \\y=\dfrac{70\cdot 90}{100}=\dfrac{6300}{100}=63$

The number of correct answers in Science is 63.

Then the table is

$\begin{array}{cccc} \text{Test} & \text{Number Correct} & \text{Score} & \text{Total}\\ \text{Math} & 68 & 80\% & 85 \\ \text{Science} & 63 & 90\% & 70\end{array}$

2. Marisol had 80% in Math and 90% in Science, then she had the higher score in Science.

3. Suppose Marisol scored a 96% on an english test. There were 50 questions on the test. Consider this task as proportion too

50 -100%

z - 96%

Then

$\dfrac{50}{z} =\dfrac{100}{96},\\ \\z=\dfrac{96\cdot 50}{100}=\dfrac{4800}{100}=48$

She answered correctly 48 questions from English test.

Answer 2

Answer for a.: Math: 68 80% 85 Science: 63 90% 70 Answer for b.: Science. Answer for c.: (I don't know, sorry.)