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Quantity of a Quantity: Word Problems>
Find the Quantity of a Quantity: Word ProblemsFind the Quantity of a Quantity: Word Problems
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Question 1 of 6
1. Question
A basket of fruit has `5` bananas, `4` apples and `3` oranges. What fraction of the fruit basket is apples?Write fractions in the form “a/b” and express in lowest terms- (1/3)
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A quantity of a quantity can be written as a fraction.$$\frac{\color{#00880a}{\mathsf{quantity}\;1}}{\color{#9a00c7}{\mathsf{quantity}\;2}}$$Since we are looking for the fraction of apples, the numerator must be the no. of apples while the denominator is the total no. of fruits.No. of apples: `4`Total no. of fruits: `5` bananas`+4` apples`+3` oranges`=``12`$$\mathsf{\frac{No.\;of\;apples}{Total\;no.\;of\;fruits}}$$ `=` $$\frac{\color{#00880A}{4}}{\color{#9a00c7}{12}}$$ `=` $$\frac{4\div\color{#CC0000}{4}}{12\div\color{#CC0000}{4}}$$ Simplify the fraction `=` `1/3` `1/3` -
Question 2 of 6
2. Question
A jar contains `5` red balls, `3` black balls and `2` green balls. Find the following:Write fractions in the form “a/b”-
`(i)` Fraction of the balls that are red: (5/10, 1/2)`(ii)` Fraction of the balls that are green if `3` more green balls are added? (5/13)
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A quantity of a quantity can be written as a fraction.$$\frac{\color{#00880a}{\mathsf{quantity}\;1}}{\color{#9a00c7}{\mathsf{quantity}\;2}}$$`(i)` Find what fraction of the balls are red.Since we are looking for the fraction of red balls, the numerator must be the number of red balls while the denominator is the total number of balls.No. of red balls: `5`Total no. of balls: `5` red`+3` black`+2` green`=``10`$$\mathsf{\frac{No.\;of\;red\;balls}{Total\;no.\;of\;balls}}$$ `=` $$\frac{\color{#00880A}{5}}{\color{#9a00c7}{10}}$$ `(ii)` Find what fraction of the balls are green if `3` more green balls are added to the jar.Since we are looking for the fraction of green balls, the numerator must be the number of green balls while the denominator is the total number of balls.No. of green balls: `2+3=``5`Total no. of balls: `5` red`+3` black`+5` green`=``13`$$\mathsf{\frac{No.\;of\;green\;balls}{Total\;no.\;of\;balls}}$$ `=` $$\frac{\color{#00880A}{5}}{\color{#00880A}{13}}$$ `(i) 5/10``(ii) 5/13` -
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Question 3 of 6
3. Question
Peter is travelling from Melbourne to Sydney. When he reaches the sign post shown below, what fraction of his journey is he yet to travel?
Write fractions in the form “a/b” and express in lowest terms- (5/8)
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A quantity of a quantity can be written as a fraction.$$\frac{\color{#00880a}{\mathsf{quantity}\;1}}{\color{#9a00c7}{\mathsf{quantity}\;2}}$$Since we are looking for the fraction that he is yet to travel, the numerator must be the distance to be traveled while the denominator is the total distance of his journey.Distance to be traveled: `550`kmTotal distance of journey: `330+550=``880`km$$\mathsf{\frac{Distance\;to\;be\;traveled}{Total\;distance\;of\;journey}}$$ `=` $$\frac{\color{#00880A}{550}}{\color{#9a00c7}{880}}$$ `=` $$\frac{550\div\color{#CC0000}{10}}{880\div\color{#CC0000}{10}}$$ Simplify the fraction `=` `55/88` `=` $$\frac{55\div\color{#CC0000}{11}}{88\div\color{#CC0000}{11}}$$ Simplify the fraction further `=` `5/8` `5/8` -
Question 4 of 6
4. Question
Charlie has `10` packets of potato chips and `2` packets of cheese balls. What fraction of these snacks are potato chips?Write fractions in the form “a/b” and express in lowest terms- (5/6)
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A quantity of a quantity can be written as a fraction.$$\frac{\color{#00880a}{\mathsf{quantity}\;1}}{\color{#9a00c7}{\mathsf{quantity}\;2}}$$Since we are looking for the fraction of potato chips, the numerator must be the number of potato chips while the denominator is the total number of snacks.No. of potato chips: `10`Total no. of snacks: `10` potato chips`+2` cheese balls`=``12`$$\mathsf{\frac{No.\;of\;potato\;chips}{Total\;no.\;of\;snacks}}$$ `=` $$\frac{\color{#00880A}{10}}{\color{#9a00c7}{12}}$$ `=` $$\frac{10\div\color{#CC0000}{2}}{12\div\color{#CC0000}{2}}$$ Simplify the fraction `=` `5/6` `5/6` -
Question 5 of 6
5. Question
A coin is tossed `50` times. If heads appears `20` times, what fraction of the total comes up tails?Write fractions in the form “a/b”- (30/50, 3/5)
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A quantity of a quantity can be written as a fraction.$$\frac{\color{#00880a}{\mathsf{quantity}\;1}}{\color{#9a00c7}{\mathsf{quantity}\;2}}$$First, find the number of times that tails appear by subtracting the times heads appears from the total number of tosses.No. of times the coin was tossed: `50`No. of times heads appear: `20``50-20` `=` `30` Tails appeared `30` timesSince we are looking for the fraction of tails, the numerator must be the no. of times tails appeared while the denominator is the total no. of tosses.No. of times tails appeared: `30`Total no. of tosses: `50`$$\mathsf{\frac{No.\;of\;times\;tails\;appeared}{Total\;no.\;of\;tosses}}$$ `=` $$\frac{\color{#00880A}{30}}{\color{#9a00c7}{50}}$$ `30/50` -
Question 6 of 6
6. Question
Roly threw the basketball several times. It went in the hoop `9` out of `12` attempts. What fraction of his shots did he miss?Write fractions in the form “a/b” and express in lowest terms- (1/4)
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A quantity of a quantity can be written as a fraction.$$\frac{\color{#00880a}{\mathsf{quantity}\;1}}{\color{#9a00c7}{\mathsf{quantity}\;2}}$$First, find the fraction of his shots that were successful.In this fraction, the numerator must be the no. of successful shots while the denominator is the total no. of shots.No. of successful shots: `9`Total no. of shots: `12`$$\mathsf{\frac{No.\;of\;successful\;shots}{Total\;no.\;of\;shots}}$$ `=` $$\frac{\color{#00880A}{9}}{\color{#9a00c7}{12}}$$ Now, find the fraction of times that he missed by subtracting the previous fraction from `1``1-9/12` `=` `12/12-9/12` `=` `3/12` `=` $$\frac{3\div\color{#CC0000}{3}}{12\div\color{#CC0000}{3}}$$ Simplify the fraction `=` `1/4` `1/4`
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