Question

4 bananas and 3 peaches cost $10. We can represent this information as 4x +3y = $10. The x represents the cost of bananas and the y represents the cost of peaches.

a) Find an equation for 1 banana and 2 peaches cost $5

b) With the two equations, use a matrix method on your calculator to determine the cost of a banana and the cost of a peach.

Answer 1

a x+2y =5

b x=1 y=2

Explanation:

4x+3y = 10

So the cost of 1 banana is x and the cost of 1 peach is y

a) we want the cost of 1 banana and 2 peaches

1x+2y

That is equal to 5 dollars

1x+2y =5

x+2y =5

b

The matrixes are

1 2 x 5

* =

4 3 y 10

Using my calculator, x=1 y=2