Answer:
(a) False
(b) False
(c) True
(d) 10:6
Step-by-step explanation:
A ratio is just a way of comparing one number to another. It can be expressed the ways shown in your problem statement, or as a fraction:
4 bananas to 6 apples . . . . (using the word "to")
4 bananas : 6 apples
(4 bananas) / (6 apples)
Equivalent ratios are called a proportion. For example, ...
4 bananas/(6 apples) = (2 bananas)/(3 apples) . . . . a proportion
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Obviously, we can add apples and bananas to get total fruit.
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a.
The ratio of bananas to apples is given as ...
bananas : apples = 4 : 6 . . . not 6 : 4 -- the statement is False
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b.
The ratio of apples to total fruit will be ...
6 apples : (6 apples + 4 bananas) = 6 : 10 . . . not 10 : 6 -- the statement is False
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c.
The ratio of bananas to total fruit will be ...
4 bananas : (4 bananas +6 apples) = 4 : 10 . . . the statement is True
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d.
The ratio of total fruit to apples is ...
(6 apples +4 bananas) : (6 apples) = 10 : 6
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Additional comment
Technically, we cannot add apples and bananas. We can only add "like" quantities. What we are actually adding in this case is fruit: 6 (apple) fruit + 4 (banana) fruit = 10 total fruit.
