A basket contains 20 apples, 15 bananas, and 10 oranges.

a) What fraction of the fruits are apples?
b) What fraction of the fruits are bananas?
c) What fraction of the fruits are oranges?
d) What is the total number of fruits in the basket?



Answer :

Let's solve this problem step-by-step:

1. Determine the total number of fruits in the basket:
- Number of apples: 20
- Number of bananas: 15
- Number of oranges: 10

First, we add these quantities together to find the total number of fruits:
[tex]\[ \text{Total number of fruits} = 20 + 15 + 10 = 45 \][/tex]

2. Calculate the fraction of the basket that each type of fruit represents:

- Fraction of apples:
[tex]\[ \text{Fraction of apples} = \frac{\text{Number of apples}}{\text{Total number of fruits}} = \frac{20}{45} \approx 0.4444 \][/tex]

- Fraction of bananas:
[tex]\[ \text{Fraction of bananas} = \frac{\text{Number of bananas}}{\text{Total number of fruits}} = \frac{15}{45} \approx 0.3333 \][/tex]

- Fraction of oranges:
[tex]\[ \text{Fraction of oranges} = \frac{\text{Number of oranges}}{\text{Total number of fruits}} = \frac{10}{45} \approx 0.2222 \][/tex]

3. By adding up the fractions of all the fruit types, we check the total fraction:
[tex]\[ \text{Total fraction} = \text{Fraction of apples} + \text{Fraction of bananas} + \text{Fraction of oranges} = 0.4444 + 0.3333 + 0.2222 = 1 \][/tex]

Therefore, the fraction of the basket that is apples is approximately [tex]\(0.4444\)[/tex], the fraction that is bananas is approximately [tex]\(0.3333\)[/tex], the fraction that is oranges is approximately [tex]\(0.2222\)[/tex], and the total fraction of fruits in the basket is [tex]\(1\)[/tex].

Answer:

a) 4/9

b) 1/3

c)  2/9

d)  45

Step-by-step explanation:

A basket contains 20 apples, 15 bananas, and 10 oranges.

The total number of fruit is 20+15+10 = 45

a) What fraction of the fruits are apples? = apples/total = 20/45 = 4/9

b) What fraction of the fruits are bananas? = bananas/total = 15/45 = 1/3

c) What fraction of the fruits are oranges? = oranges/total = 10/45 = 2/9

d) What is the total number of fruits in the basket?

= apples+ bananas+ oranges= 20+15+10 = 45

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