Question

The ratio of boys to girls in a school is $3:5$, if there are $60$ girls, how many boys are in the school?

Answer 1

Hint:We will start off by setting up proportions, for boys and girls. We will consider an unknown variable as $x$ to further simplify and evaluate the terms. Then cross multiply terms and evaluate the number of boys in the school.

Complete step by step answer:
We will start off by considering the proportions of the boys and girls in the schools.
So, we will set up the proportion as,
$\dfrac{3}{5} = \dfrac{x}{{60}}$
In this ratio, we have considered $x$ as the number of boys in the school.
Now if we cross multiply, the terms we get,
$3 \times 60 = 5 \times x$
Now we will solve for the value of $x$.
$
3 \times 60 = 5 \times x \\
3 \times 12 = x \\
x = 36 \\
$
Hence, the number of boys in the school is $36$.
Additional Information:
Expression is a mathematical sentence which has numbers, variables, and operations and there is no equal sign. Simplify means to break down an expression to its simplest forms. Variable is a number that we don’t know, or which can change. Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on.

Note: While converting orders do not matter for addition and multiplication. But order is important for subtraction and division. Make sure that you read the statement twice before translating it to an expression. Pay extra attention to the statements where multiplication and division is involved. While cross multiplying the terms, make sure to multiply the terms along with their signs.