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The man bought 50 dozen fruits consisting of apples ad bananas. An apple is cheaper than a banana. The number of dozens of apples he bought is equal to the cost per dozen of bananas in rupees and vice-versa. If he had spent a total amount of Rs.1050, find the number of dozens of apples and bananas he bought respectively. a) 12 &38 (b)14 &36 (c)15 & 35 (d)18 &32

The man bought 50 dozen fruits consisting of apples ad bananas. An apple is cheaper than a banana. The number of dozens of apples he bought is equal to the cost per dozen of bananas in rupees and vice-versa. If he had spent a total amount of Rs.1050, find the number of dozens of apples and bananas he bought respectively.
a) 12 &38  (b)14 &36 (c)15 & 35 (d)18 &32

Grade:Select Grade

2 Answers

Y RAJYALAKSHMI
45 Points
8 years ago
let x, y are the number of dozens of apples and bananas
=> x + y = 50  .............. (1)
and a, b are  the price of apples and banana for dozen
=> ax + by = 1050  ................... (2)
since the cost of apple = no of dozens of bananas & vice versa, we have x = b and y = a
So, the equation (2) becomes 2xy = 1050
xy =  525 …........(3)
by solving 1 & 3, we get
x & y = 35, 15
 
 
 
 
 
 
Raj
13 Points
4 years ago
2+2+3+4+5+6+7+8+9+0+*7777+6 4+8+8+9+6+7+89+8+8+7+8766(776*8755+875+965+9754*965*9754*8754*965*96-965-964-85-83-94+4+3

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