Maria is helping with a school fundraiser by selling fruit baskets. Basket A contains 3 apples, 2 pears, and 4 oranges and sells for $ 9.65. Basket B contains 4 apples, 3 pears, and 3 oranges and sells for $ 10.70. Basket C contains 2 apples, 2 pears, and 2 oranges and sells for $ 6.30. What is the cost of each apple, pear and orange?

Here,
Let the cost of each apple, pear, and orange be x , y and z recpectively
Basket A contains 3 apples, 2 pears, and 4 oranges and sells for $ 9.65,
3x + 2y + 4z = 9.65 - - - - - - (1)
Similarly,
For Basket B
4x +3y +3z = 10.70 - - - -- - - (2)
For Basket C
2x +2y +2z = 6.30 - - - - -- - (3)|
From equation 3
2x = 6.30 -2y - 2z
x = 3.15 - y - z - - - - - -(A)
Put x in both equations 1 and 2
9.45 - 3y -3z + 2y + 4z = 9.65
-y + z = 0.20 - - - - (5)
12.6 - 4y - 4z + 3y + 3z = 10.70
-y - z = -1.9
y + z = 1.9
y = 1.9 - z - - - (6)
Put y in equation 5
-1.9 + z + z = 0.20
2z = 2.10
z = 1.05

Put z in equation 6
y = 1.9 - 1.05
y = 0.85
Put x and z in equation A
x = 3.15 - 0.85 - 1.05 = 1.25
Here x = $1.25 , y = $0.85 and z = $1.05

Thus, the required cost of each apple, pear, and orange is $1.25, $0.85, and $1.05.

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