Madelyn and her children went into a grocery store where they sell apples for $1.75 each and peaches for $1 each. Madelyn has $20 to spend and must buy no less than 14 apples and peaches altogether. If Madelyn decided to buy 3 apples, determine the maximum number of peaches that she could buy.

If Madelyn buys 3 apples at $1.75 each, she would spend $1.75*3 = $5.25 on apples.

She would have $20 - $5.25 = $14.75 left to spend on peaches.

Since she must buy no less than 14 apples and peaches altogether, the maximum number of peaches she could buy would be $14.75/$1 = 14.75 peaches.

Since she must buy whole peaches, the maximum number of peaches she could buy would be 14 peaches.