Percent of an Amount – Word Problems 3

Question 1 of 4

A baker puts in

$75 \text(g)$ of cocoa,

$150 \text(g)$ of sugar,

$225 \text(g)$ of flour and

$50 \text(g)$ of butter for her chocolate mud cake. Find the percentages of each ingredient.

$\text(Cocoa)$ = (15) $%$

$\text(Sugar)$ = (30) $%$

$\text(Flour)$ = (45) $%$

$\text(Butter)$ = (10) $%$

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First, list down the known values for each ingredient.

$\text(Cocoa)=75 \text(g)$

$\text(Sugar)=150 \text(g)$

$\text(Flour)=225 \text(g)$

$\text(Butter)=50 \text(g)$

Next, get the total amount of ingredients by adding the value of all the ingredients.

$\text(Total Amount)$	$=$	$75$ $+$ $150$ $+$ $225$ $+$ $50$
	$=$	$500$

Then, solve for the percentage of each amount by multiplying the fraction of the ingredients by

$100%$ .

$\text(Cocoa)$

	$\frac{\color{#9a00c7}{75}}{\color{#A57200}{500}}\times100\%$

$=$	$75/500times100/1$	Convert values to fraction form

$=$	$75/5times1/1$	Simplify

$=$	$\frac{75}{5}$

$=$	$15%$

$\text(Sugar)$

	$\frac{\color{#00880A}{150}}{\color{#A57200}{500}}\times100\%$

$=$	$150/500times100/1$	Convert values to fraction form

$=$	$150/5times1/1$	Simplify

$=$	$\frac{150}{5}$

$=$	$30%$

$\text(Flour)$

	$\frac{\color{#e85e00}{225}}{\color{#A57200}{500}}\times100\%$

$=$	$225/500times100/1$	Convert values to fraction form

$=$	$225/5times1/1$	Simplify

$=$	$\frac{225}{5}$

$=$	$45%$

$\text(Butter)$

	$\frac{\color{#007DDC}{50}}{\color{#A57200}{500}}\times100\%$

$=$	$50/500times100/1$	Convert values to fraction form

$=$	$50/5times1/1$	Simplify

$=$	$\frac{50}{5}$

$=$	$10%$

$\text(Cocoa)=15%$

$\text(Sugar)=30%$

$\text(Flour)=45%$

$\text(Butter)=10%$

Question 2 of 4

A tub of ice cream contains

$150 \text(g)$ of milk solids,

$135 \text(g)$ of cream,

$125 \text(g)$ of sugar and

$90 \text(g)$ of butter. Find the percentages of each ingredient.

$\text(Milk Solids)$ = (30) $%$

$\text(Cream)$ = (27) $%$

$\text(Sugar)$ = (25) $%$

$\text(Butter)$ = (18) $%$

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First, list down the known values for each ingredient.

$\text(Milk Solids)=150 \text(g)$

$\text(Cream)=135 \text(g)$

$\text(Sugar)=125 \text(g)$

$\text(Butter)=90 \text(g)$

Next, get the total amount of ingredients by adding the value of all the ingredients.

$\text(Total Amount)$	$=$	$150$ $+$ $135$ $+$ $125$ $+$ $90$
	$=$	$500$

Then, solve for the percentage of each amount by multiplying the fraction of the ingredients by

$100%$ .

$\text(Milk Solids)$

	$\frac{\color{#9a00c7}{150}}{\color{#A57200}{500}}\times100\%$

$=$	$150/500times100/1$	Convert values to fraction form

$=$	$150/5times1/1$	Simplify

$=$	$\frac{150}{5}$

$=$	$30%$

$\text(Cream)$

	$\frac{\color{#00880A}{135}}{\color{#A57200}{500}}\times100\%$

$=$	$135/500times100/1$	Convert values to fraction form

$=$	$135/5times1/1$	Simplify

$=$	$\frac{135}{5}$

$=$	$27%$

$\text(Sugar)$

	$\frac{\color{#e85e00}{125}}{\color{#A57200}{500}}\times100\%$

$=$	$125/500times100/1$	Convert values to fraction form

$=$	$125/5times1/1$	Simplify

$=$	$\frac{125}{5}$

$=$	$25%$

$\text(Butter)$

	$\frac{\color{#007DDC}{90}}{\color{#A57200}{500}}\times100\%$

$=$	$90/500times100/1$	Convert values to fraction form

$=$	$90/5times1/1$	Simplify

$=$	$\frac{90}{5}$

$=$	$18%$

$\text(Milk Solids)=30%$

$\text(Cream)=27%$

$\text(Sugar)=25%$

$\text(Butter)=18%$

Question 3 of 4

A bakery sells

$300$ loaves of bread every day. If

$15%$ of the bread they sell is gluten-free, how many loaves are not gluten-free?

(255) $\text(loaves of bread)$

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First, summarise the data and draw a diagram for easier understanding of the problem

$\text(Total loaves of bread sold)=300$

$\text(Percentage of gluten-free loaves)=15%$

$\text(Percentage of total loaves sold)=100%$

$\text(Percentage of not gluten-free loaves)=?$

Next, find the percentage of loaves that are not gluten-free.

Do this by subtracting the percentage of gluten-free loaves $(15%)$ from $100%$

$% \text(of not gluten-free loaves)$	$=$	$100$ $-$ $15$
	$=$	$85%$

$85%$ of the loaves are not gluten-free.

Finally, multiply the percentage to the total number of loaves which is $300$

$\text(Not Gluten-Free Loaves)$	$=$	$85%$ $times$ $300$

	$=$	$85/100xx300/1$	Convert values to fraction form

	$=$	$85/1xx3/1$	Cancel the zeros

	$=$	$\frac{85\times3}{1}$

	$=$	$255/1$

	$=$	$255$

Hence, $\underline{255\;\text{loaves of bread}}$ are not gluten-free.

$255 \text(loaves of bread)$

Question 4 of 4

In a town with

$410$ homes,

$80%$ of the homes were affected by a blackout. How many homes were not affected?

(82) $\text(homes)$

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First, summarise the data and draw a diagram for easier understanding of the problem

$\text(Total number of homes)=410$

$\text(Percentage of homes affected)=80%$

$\text(Percentage of total homes)=100%$

$\text(Percentage of homes not affected)=?$

Next, find the percentage of homes that are not affected by the blackout.

Do this by subtracting the percentage of affected homes $(80%)$ from $100%$

$% \text(of homes not affected)$	$=$	$100$ $-$ $80$
	$=$	$20%$

$20%$ of the homes are not affected.

Finally, multiply the percentage by the total number of homes which is $410$

$\text(Homes not affected)$	$=$	$20%$ $times$ $410$

	$=$	$20/100times410/1$	Convert values to fraction form

	$=$	$2/1times41/1$	Simplify

	$=$	$\frac{2\times41}{1}$

	$=$	$82$

Hence, $\underline{82\;\text{homes}}$ were not affected by the blackout.

$82 \text(homes)$

Percent of an Amount – Word Problems 3

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