Which contributes more to equality: anti-poverty policies, or improving access to education?

When attempting to discuss issues such as the ones posed in the question it is important to understand that although presented as a strictly singular comparison we are actually dealing with not one but two types of equality. The first is social equality, linked with anti-poverty policies, and the second is equality of opportunity, coupled with improving access to education. Examples will be based upon the British welfare system explaining how policies of both anti-poverty and improving access to education affect equality within British society….(short extract)