three apples and four bananas cost 4.85. 3 apples in 10 bananas cost $8.75.find the cost of an apple

Question

System of equations 

Answer 1

Let a be apples

let b be bananas 

Solve System of equation by elimination 

   3a + 4b = 4.85

-(3a + 10b = 8.75)

     =>  -6b = -3.90

         b= $0.65

 

plug b into any of the original equations

3a + 4b = 4.85

3a + 4(0.65) = 4.85

3a + 2.6 = 4.85

3a = 4.85 - 2.6

3a/3 = 2.25/3

a = $0.75

 

the cost of an Apple is $0.75

the cost of a banana is $0.65

Answer 2

Let x = cost of apples

Let y = cost of bananas

 

3x+4y = 4.85

10y = 8.75

 

 

We can take the 2nd equation and solve for y.

 

10y = 8.75

   y = 0.88

 

 

Substitute this value into the 1st equation.

 

3x+4y = 4.85

3x+4(0.88) = 4.85

3x+3.52 = 4.85

3x = 1.33

x = 0.44

 

The cost of an apple is $0.44

The cost of a banana is $0.88