Question

in a box there are 69 pieces of fruit.5 more apples than oranges and the mangoes were 27 less than 5 times the number of oranges.how many of each type are there?

Answer 1

Hi ,

Total fruits in a box = 69 ----( 1 )

Let number of Oranges = x

Number of Apples = 5 more than

number of Oranges

= x + 5

Number of mangoes = 27 less than

5 times of Oranges

= 5x - 27

Therefore ,

Total fruits = 69

x + ( x + 5 ) + ( 5x - 27 ) = 69

=> 7x - 22 = 69

=> 7x = 69 + 22

=> 7x = 91

x = 91/7

x = 13

Therefore ,

Number of Oranges = x = 13

Number of Apples = x + 5

= 13 + 5

= 18

Number of mangoes = 5x - 27

= 5 × 13 - 27

= 65 - 27

= 38

I hope this helps you.

: )