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].
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