We are given two equations: 1. The cost of 1 rugby ball and 1 netball is $£11$.

1. Problem Description

We are given two equations:

1. The cost of 1 rugby ball and 1 netball is $£11$.

2. The cost of 4 rugby balls and 1 netball is $£29$.

We need to find the cost of 1 rugby ball and the cost of 1 netball.

2. Solution Steps

Let $r$ be the cost of one rugby ball and $n$ be the cost of one netball.

From the given information, we can write the following equations:

$r + n = 11$ (Equation 1)

$4r + n = 29$ (Equation 2)

We can solve this system of equations using substitution or elimination. Let's use elimination. Subtract Equation 1 from Equation 2:

$(4r + n) - (r + n) = 29 - 11$

$3r = 18$

$r = \frac{18}{3}$

$r = 6$

Now, substitute the value of $r$ into Equation 1:

$6 + n = 11$

$n = 11 - 6$

$n = 5$

So, the cost of one rugby ball is $£6$ and the cost of one netball is $£5$.

3. Final Answer

The cost of 1 rugby ball is $£6$.

The cost of 1 netball is $£5$.