Question

The average price of all fruits (mangoes
and apples) is Rs. 100. The average price
of mangoes alone is Rs. 60 and average
price of apples alone is Rs. 120. What
could be the total number of fruits?​

Answer 1

Answer:

Rs.10

Step-by-step explanation:

2 A + 3 M + 5 X = 50 -—— (1)

5 A + 8 M + 14 X = 140—--(2)

Multiply (1) by 2.5

5 A + 7.5 M + 12.5 X = 125 —(3)

Substract (3) from (2)

0.5 M + 1.5 X = 15

M + 3 X = 30 ——(4)

Substract (4) from (1)

2 A + 2 M + 2 X = 20

A + M + X = 10

One Apple, One Mango and One Orange will Cost Rs. 10/-

Answer 2

given average of all fruits , mangoes and apples find number of fruits

Explanation:

1. let the number of mangoes be $m$, number of apples be $a$ and cost of each mango and apple be $x\ and\ y$ respectively. then, average price of all fruits is given by,   $\frac{mx+ay}{m+a} =100$            ---(a)
2. now, average price of mangoes is given by,  $\frac{xm}{m}=60\ \ \ \ \ => x=60$                                          now, average price o apples is given by,       $\frac{ya}{a}=120\ \ \ \ \ => y=120$  --(b)  
3. equating values from (b) in (a) we get,                                                                         $\frac{60m+120a}{m+a}=100\\60m+120a=100m+100a\\a=2m$          
4. hence, possible total number of fruits can be $3$ $(1\ mango,\ 2\ apples)$