; and (B) to an eligible child residing in the State who is enrolled in a private school or home school, through an education savings account, an amount equal to the sum of the amount available for an eligible child in the State. (3) Distribution to public schools Each local educational agency that receives funds under paragraph (2)(A) shall distribute such funds to the public schools served by the local educational agency— (A) based on the number of eligible children enrolled in such schools; and (B) in a manner that would, in the absence of such Federal funds, supplement the funds made available from non-Federal resources for the education of pupils participating in programs under this Act, and not to supplant such funds. (4) Distribution to eligible children Each State that carries out allocations described in paragraph (1) shall distribute amounts to the eligible children residing in that State who enroll in a private school or home school— (A) through an education savings account, as described in paragraph (2)(B); and (B) in a manner that would, in the absence of such Federal funds, supplement the funds made available from non-Federal resources for the education of pupils participating in programs under this Act, and not to supplant such funds. (d) Rule of construction (1) Federally funded school lunch programs Nothing in this section shall be construed to preclude a child eligible for assistance under the free and reduced price school lunch program established under the Richard B. Russell National School Lunch Act ( 42 U.S.C. 1751 et seq. ) from receiving assistance under such program. (2) Prohibition of control over non-public education providers Nothing in this section shall permit, allow, encourage, or authorize Federal or State control over non-public education providers. .