Ivys do not give merit based scholarship. All financial aids are based on the need (calculated based on income and asset).

The schools that are a bit lower than Ivys do give some merit based scholarship. But they are difficult to get. My older daughter got in JHU, Duke, North Western, U of Chicago and Washington U in St. Luis. She tried very hard, writing those extra essays for merit based scholarship, etc. In the end, none of them gave her any money.