QuestionFind the number of correct answers if $\frac{8}{10}=\frac{x}{50}$ .

Studdy Solution

STEP 1

Assumptions1. The ratio of correct to total is the same in both cases. . We are solving for the number of correct in the second case where the total is50.

STEP 2

We can set up a proportion to solve for the unknown, which we'll call x.
$\frac{8}{10} = \frac{x}{50}$

STEP 3

To solve for x, we can cross-multiply.
$8 \times50 =10 \times x$

STEP 4

Calculate the left side of the equation.
$8 \times50 =400$ So, the equation becomes $400 =10 \times x$

STEP 5

To isolate x, divide both sides of the equation by10.
$\frac{400}{10} = x$

STEP 6

Calculate the value of x.
$x = \frac{400}{10} =40$ So, if the ratio of correct to total is the same as8 correct out of10 total, then out of50 total,40 would be correct.

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QuestionFind the number of correct answers if $\frac{8}{10}=\frac{x}{50}$ .

Studdy Solution

STEP 1

Assumptions1. The ratio of correct to total is the same in both cases. . We are solving for the number of correct in the second case where the total is50.

STEP 2

We can set up a proportion to solve for the unknown, which we'll call x.
$\frac{8}{10} = \frac{x}{50}$

STEP 3

To solve for x, we can cross-multiply.
$8 \times50 =10 \times x$

STEP 4

Calculate the left side of the equation.
$8 \times50 =400$ So, the equation becomes $400 =10 \times x$

STEP 5

To isolate x, divide both sides of the equation by10.
$\frac{400}{10} = x$

STEP 6

Calculate the value of x.
$x = \frac{400}{10} =40$ So, if the ratio of correct to total is the same as8 correct out of10 total, then out of50 total,40 would be correct.

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QuestionFind the number of correct answers if 810=x50\frac{8}{10}=\frac{x}{50}108​=50x​.

Studdy Solution

STEP 1

Assumptions1. The ratio of correct to total is the same in both cases. . We are solving for the number of correct in the second case where the total is50.

STEP 2

We can set up a proportion to solve for the unknown, which we'll call x.810=x50\frac{8}{10} = \frac{x}{50}108​=50x​

STEP 3

To solve for x, we can cross-multiply.8×50=10×x8 \times50 =10 \times x8×50=10×x

STEP 4

Calculate the left side of the equation.8×50=4008 \times50 =4008×50=400So, the equation becomes400=10×x400 =10 \times x400=10×x

STEP 5

To isolate x, divide both sides of the equation by10.40010=x\frac{400}{10} = x10400​=x

STEP 6

Calculate the value of x.x=40010=40x = \frac{400}{10} =40x=10400​=40So, if the ratio of correct to total is the same as8 correct out of10 total, then out of50 total,40 would be correct.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the number of correct answers if $\frac{8}{10}=\frac{x}{50}$ .

We can set up a proportion to solve for the unknown, which we'll call x.
$\frac{8}{10} = \frac{x}{50}$

To solve for x, we can cross-multiply.
$8 \times50 =10 \times x$

Calculate the left side of the equation.
$8 \times50 =400$ So, the equation becomes $400 =10 \times x$

To isolate x, divide both sides of the equation by10.
$\frac{400}{10} = x$

Calculate the value of x.
$x = \frac{400}{10} =40$ So, if the ratio of correct to total is the same as8 correct out of10 total, then out of50 total,40 would be correct.