6 green apples for 75p 10 red apples for 90p

Jason bought some bags of green apples and some bags of red apples.
He spent £4.20.
How many bags of each type of apples did he buy?

can someone explain this to me?

thanks.

To find out how many bags of each type of apples Jason bought, we can set up a system of equations based on the given information.

Let's assume that Jason bought x bags of green apples and y bags of red apples.

According to the information given, 6 green apples cost 75p. So, the price of one green apple is 75p/6 = 12.5p.

Similarly, 10 red apples cost 90p. So, the price of one red apple is 90p/10 = 9p.

Now, we can determine the total cost of the green and red apples Jason bought:
Cost of green apples = (price of one green apple) * (number of green apple bags) = 12.5p * x
Cost of red apples = (price of one red apple) * (number of red apple bags) = 9p * y

The total cost is given as £4.20, which can be written as 420p.

So, we have the equation:
12.5x + 9y = 420 [equation 1]

Additionally, we know that Jason bought a certain number of bags: x bags of green apples and y bags of red apples.

So, we have the second equation:
x + y = total number of bags

Since we don't know the total number of bags, we'll refer to it as t.

The second equation becomes:
x + y = t [equation 2]

Now, we have a system of two equations (equation 1 and equation 2) that we can solve to find the values of x and y.

However, this system has infinitely many solutions since we have two unknowns and only one equation.

Therefore, we need additional information to find the exact values of x and y or solve for the number of bags bought.