The total cost of 12 apples and 8 guavas is rs. 76 and the total cost of 8 apples and 12 guavas is rs. 64. what is the total cost of one apple and one guava
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let apple =x
guava =y
12x+8y=76 ----------1
8x+12y=64 ----------2
divide eq 1 by 4
3x+2y=19 ------------3
divide eq 2 by 4
2x+3y=16 ------------4
multiply eq (3) by 2 and (4) by 3 & sub
6x+4y=38
6x+9y=48
-5y=-10
y=2
put y in 1
12x+8(2)=76
12x+16=76
12x=76-16
x=60/12
x=5
price of one apple =5 Rs
price of one guava =2 Rs
guava =y
12x+8y=76 ----------1
8x+12y=64 ----------2
divide eq 1 by 4
3x+2y=19 ------------3
divide eq 2 by 4
2x+3y=16 ------------4
multiply eq (3) by 2 and (4) by 3 & sub
6x+4y=38
6x+9y=48
-5y=-10
y=2
put y in 1
12x+8(2)=76
12x+16=76
12x=76-16
x=60/12
x=5
price of one apple =5 Rs
price of one guava =2 Rs
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