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Percent of an Amount – Word Problems 3Percent of an Amount – Word Problems 3
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Question 1 of 4
1. Question
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%` -
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Question 2 of 4
2. Question
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%` -
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Question 3 of 4
3. Question
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
4. Question
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)`
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