Question

One apple and six bananas cost £2.70

one apple and eight bananas cost £3.50
Work out the cost of an apple and a banana

PLSSS HELP TYSM

Answer 1

An apple costs 0.30 pounds and a banana costs 0.40 pounds.

Explanation:

Let's think of apples as x and bananas as y.

Using the given information, you can write two equations.

`x+6y=2.70`

`x+8y=3.50`

x can also be written as

`x=2.70-6y`

We can plug this equation into the second one to solve for y, or the cost of a banana.

`(2.70-6y)+8y=3.50`

`2y=0.8`

`y=0.4`

Now that we know the cost of a banana, we can go back to the first equation and solve for x, or the cost of an apple.

`x+6(0.4)=2.70`

`x=0.30`

Therefore, an apple costs 0.30 pounds and a banana costs 0.40 pounds.