In order to determine the greatest amount of money Miguel has to spend on each blanket, we simply translate the given problem into a mathematical expression. First, let x be equal to the price per blanket. Given that 10 blankets are to be bought with each one costing a shipping fee of $1.50 and the total amount to be spent is $75, we then have the following mathematical expression:
10x + 1.5(10) = 75
Solving for x, we have x = 6. This means that Miguel can spend as much as $6 on each blanket and still be within his budget.