Question

Mark the correct alternative of the following: if $80:60=x:12$, then $x$=?
A. 16
B. 7
C. 24
D. 50

Answer 1

Hint: To answer this question, we first need to understand what the ratio is.A ratio in mathematics denotes the number of times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (i.e., 8:6) whereas the ratio of lemons to oranges is 4:3. Equivalent quotients equal identical ratios.

Complete step by step answer:
A ratio is a comparison of two or more numbers that shows their sizes in relation to one another in mathematics. A ratio compares two quantities by dividing them, with the dividend or number being divided being referred to as the antecedent and the divisor or number dividing being referred to as the consequent. When the denominator is 0, the ratio is uncertain. Even if there are no zeros, we should be concerned about sensitivity. The above measure, on the other hand, is always practical.

Ratio problems are word problems in which ratios are used to connect the various components in the query. The following are the most important considerations when dealing with ratio issues: If necessary, change the quantities to the same unit. As a fraction, write the items in the ratio. As given in the question
$80:60=x:12$
Converting this into fraction
$\dfrac{{80}}{{60}} = \dfrac{x}{{12}}$
$x = \dfrac{{80}}{{60}}12$
Solving this we get,
$\therefore x = 16$

Hence, the correct answer is option A.

Note: Mathematical expressions that compare two or more numbers are known as ratios. They can be used to compare absolute numbers and amounts, as well as fractions of a greater whole. Ratios can be calculated and written in a variety of ways, but the rules that govern their application are universal.