Question

in a basket of fruits 1/3 are apples,1/8 are oranges, and 1/6 are bananas. the rest are mangoes . what fraction of fruit are mangoes ?if the total number of fruits are 120, how many of each are there in the basket please explain full equation

Answer 1

$\tt\large\underline\purple{Given:-}$

$\bf{\implies In\:basket\:_{(fruits\:have)}=?}$

$\sf{\implies No\:of\: apples=\frac{1}{3}}$

$\sf{\implies No\:of\: oranges=\frac{1}{8}}$

$\sf{\implies No\:of\: bananas=\frac{1}{6}}$

$\sf{\implies No\:of\: fruits=120}$

$\tt\large\underline\purple{To\: Find:-}$

$\bf{\implies In\:basket\:_{(No\:of\:fruits\:in\:each)}=?}$

$\tt\large\underline\purple{Solution:-}$

$\sf{\implies No\:of\: apples=\frac{1}{3}}$

$\bf{\implies Fraction\:_{(apples)}\times\: Total\:_{(fruits)}}$

$\tt{\implies \dfrac{1}{3}\times\:120}$

$\tt{\implies \dfrac{120}{3}}$

$\tt\red{\implies 40\:apples}$

$\sf{\implies No\:of\: oranges=\frac{1}{8}}$

$\bf{\implies Fraction\:_{(Oranges)}\times\: Total\:_{(fruits)}}$

$\tt{\implies \dfrac{1}{8}\times\:120}$

$\tt{\implies \dfrac{120}{8}}$

$\tt\orange{\implies 15\:oranges}$

$\sf{\implies No\:of\: bananas=\frac{1}{6}}$

$\bf{\implies Fraction\:_{(bananas)}\times\: Total\:_{(fruits)}}$

$\tt{\implies \dfrac{1}{6}\times\:120}$

$\tt{\implies \dfrac{120}{6}}$

$\tt\green{\implies 20\:banana}$

$\sf{\implies No\:of\:_{(rest\: fruits)}=Total\:_{(fruits)}-sum\:_{(A+O+B)}}$

$\sf{\implies No\:of\:_{(rest\: fruits)}=120-(40+15+20)}$

$\sf{\implies No\:of\:_{(rest\: fruits)}=120-75}$

$\sf{\implies No\:of\:_{(rest\: fruits)}=45}$

Answer 2

Answer:

• Fraction of fruits (mangoes) = 9/24
• 40 apples
• 15 oranges
• 20 bananas
• 45 mangoes

Step-by-step explanation:

Given

• In a basket of fruits, 1/3 are apples, 1/8 are oranges, 1/6 are bananas and  the rest are mangoes.
• Total number of fruits are 120.

To find

• What fraction of fruits are mangoes.
• Number of fruits individually.

Solution

↪ Apples + Oranges + Bananas + Mangoes = 120

↪ (1/3) + (1/8) + (1/6) + Mangoes = 120

↪ Mangoes = 1 - (1/3) + (1/8) + (1/6)

↪ Mangoes = 1 - (15/24)

↪ Mangoes = 9/24 x

➝ Total fruits = 120

↪ Number of apples = Part of fruit × Total fruits

• 1/3 × 120
• 40 apples

↪ Number of oranges

• 1/8 × 120
• 15 oranges

↪ Number of bananas

• 1/6 × 120
• 20 bananas

↪ Number of mangoes

• 9/24 × 120
• 45 mangoes

Verification

• 40 + 15 + 20 + 45 = 120
• 120 = 120
• L.H.S = R.H.S