A brand of cereal had 1.21.21, point, 2 milligrams (\text{mg})(mg)left parenthesis, m, g, right parenthesis of iron per serving. Then they changed their recipe so they had 1.8\,\text{mg}1.8mg1, point, 8, space, m, g of iron per serving. What was the percent increase in iron

Respuesta :

What you can do is solve this problem by a rule of three to know the result.
 Making the rule of three we have:
 1.21 ---> 100%
 1.8 ---> x
 Clearing x:
 x = (1.8 / 1.21) * 100 = 148.76
 Then, the percentage of increase is:
 148.76-100 = 48.76%
 answer
 the percent increase in iron was 48.76%

Percentage is a part of the whole. The percentage change in the iron content per serving is 48.46%.

What is the percentage?

A percentage is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given to us

Before, 1.21 mg of iron per serving

After, 1.8 mg of iron per serving

We know about the concept of percentage, therefore,

Change in iron serving, 1.8 - 1.21 = 0.59

Percentage change in serving

We can find the percentage change in the serving as shown below,

[tex]\text{Percentage change in serving} =\dfrac{\text{Change in iron serving}}{\text{Iron content berfore}} \times 100[/tex]

[tex]\text{Percentage change in serving} =\dfrac{0.59}{1.21} \times 100[/tex]

[tex]\text{Percentage change in serving} =48.76\%[/tex]

Hence, the percentage change in the iron content per serving is 48.46%.

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