Question

Mike made a fruit basket. Of a total fruit, 5 were apples, 5/8 were bananas and 1/4 were oranges. How many pieces of fruit does mike have in his basket.

Answer 1

Given:

(i) In Mike's basket there were 5 apples.

(ii) 5/8 of the total fruits were bananas and 1/4 th were oranges.

To find:

(i) Total number of fruits

Solution:

Let the total number of fruits be x.

As 5/8th of the total are bananas and 1/4 th are oranges.

So, the fraction of the total which are bananas and oranges are:

5/8 + 1/4

= 7/8

Rest part = 1 - (7/8)

= 1/8

So, 1/8th of total fruits are apples.

Thus x/8 = 5                       [Number of apples are 5}

⇒ x = (5*8)

⇒ x = 40

Mike has 40 fruits in his basket.

Answer 2

Given :

The number of Apples in basket = a = 5

The number of banana in basket = b = $\dfrac{5}{8}$ of total

The number of orange in basket = o = $\dfrac{1}{4}$ of total

To Find :

The number of  pieces of fruit does mike have in his basket

Solution :

let The total number of fruits in basket = n

So,  number of banana in basket = $\dfrac{5}{8}$  × n

And  number of orange in basket = $\dfrac{1}{4}$  × n

So, Total number of fruits = apple + banana + orange

Or,      n = 5 + $\dfrac{5}{8}$  × n + $\dfrac{1}{4}$  × n

Or,      n = 5 + $\dfrac{5n+2n}{8}$

Or,      n = 5 + $\dfrac{7n}{8}$

Or,      n - $\dfrac{7n}{8}$ = 5

Or,     $\dfrac{8n-7n}{8}$ = 5

∴    n = 5 ×8

i.e   n = 40

Hence , The total numbers of fruits in the basket is 40  answer