divide £32 in a ratio of 3:7
\(3 + 7 = 10\)\(32\) ÷ \(10 = 3.2\)\(3.2\) × \(3 = 9.6\)\(3.2\) × \(7 = 22.4\)£9.60 : £22.40
\(3x+7x=\pounds32\\ 10x=\pounds32\\ x=\pounds3.2\\ 3x=3\cdot\pounds3.2=\pounds9.6\\ 7x=7\cdot\pounds3.2=\pounds22.4\\\\ \boxed{\pounds9.6 \text{ and } \pounds22.4}\)
