There are 30 fruits, all apples and peaches, in a basket. Take out any three of them and at least one will be an apple. How many peaches might there be in the basket?

There are a maximum of 2 peaches in the basket.

Step-by-step explanation:

There are 30 fruits in a basket, all apples and peaches.

If 3 fruits are taken out of the basket, it is said that at least one of the 3 fruits would be an apple.

For this to be possible, it means, picking 3 fruits, at random from the basket guarantees at least 1 of them being an apple.

This means that the maximum number of peaches obtainable from the basket is 2, to guarantee a sure case of the last fruit of 3 selected fruits being an Apple. There has to be a minimum of 28 apples in the basket for this statement to be absolutely non-contestable.

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see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -