Question

There are $2.2$milligrams of iron in a $3.5$ounce serving of lamb. How much iron is in $5$ounces of lamb? Round the answer to one decimal place.

Answer 1

Hint: Here we will frame the mathematical expression from the given word statements and also assume that the given unknown term be “x” and then will simplify the equation for the resultant required value.

Complete step by step answer:
Let us assume that the amount of iron in $5$ounces of lamb be equal to “x”
Now, we are given that - there are $2.2$milligrams of iron in a $3.5$ounce serving if lamb.
$3.5$ounces $ = 2.2$milligrams
$\therefore 5$ounces $ = ?$
Do cross multiplication –
$\dfrac{x}{5} = \dfrac{{2.2}}{{3.5}}$
Where the numerator of one side is multiplied with the denominator of the opposite side and vice versa.
$ \Rightarrow 3.5x = (2.2)(5)$
Simplify the above expressions –
$ \Rightarrow 3.5x = 11$
Term multiplicative on one side if moved to the opposite side then it goes to the denominator.
$ \Rightarrow x = \dfrac{{11}}{{3.5}}$
Simplify the above expression-
$ \Rightarrow x = 3.14$

Hence, there would be $3.1$milligrams of iron in the $5$ounces of the lamb.

Note: Always read the word statements twice, as it is the base of the further solution so understand it perfectly and then convert it in the form of mathematical expressions. Segregate all the known and unknown terms and form the corresponding ratios and the proportions accordingly.
Ratio is the comparison between two numbers without any units.
Whereas, when two ratios are set equal to each other are called the proportion.
Four numbers a, b, c, and d are said to be in the proportion. If $a:b = c:d$whereas, four numbers are said to be in continued proportion if the terms \[\] $a:b = b:c = c:d$