Check the solution to "The number of student having braces. Given: 2..."

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

Harold Kessler

Answered question

2021-12-17

The number of student having braces.
Given: 2 out of every 5 have braces.

Answer & Explanation

Lindsey Gamble

Beginner2021-12-18Added 38 answers

Calculation:
Let the total students having braces be x.
The proportion can be written as:

\frac{2}{5} = \frac{x}{325}

The ratios can be simplified further by doing cross product:

\frac{2}{5} = \frac{x}{325}

5 (x) = 2 (325)

5 x = 650

\frac{5 x}{5} = \frac{650}{5}

x = 130 s t u d e n t s

Becky Harrison

Beginner2021-12-19Added 40 answers

Step 1
Given proportions:

\frac{2}{5} = \frac{x}{325}

Multiply both sides by 325.

\frac{2}{5} \times 325 = x

Express

\frac{2}{5} \times 325

as a single fraction

\frac{2 \times 325}{5} = x

Multiply 2 and 325 to get 650.

\frac{650}{5} = x

Divide 650 by 5 to get 130.

130 = x

Swap sides so that all variable terms are on the left hand side.
Answer: 130 students

nick1337

Expert2021-12-28Added 777 answers

Step 1
NSK
The proportion can be written as:
$\frac{2}{5} = \frac{x}{325}$
The cross product is
$2 \times 325 = 5 \times x$
Solving for x
$x = \frac{2 \times 325}{5}$
and reducing
x=130

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