Yoshi will have to pay $150 more each month for his family's health insurance plan.
To calculate how much more Yoshi will have to pay each month for his family's health insurance plan, we need to first find out the amount that Yoshi's employer currently pays and how much that will change with the increase in the total cost of the plan.
Currently, Yoshi's employer pays 80% of the total cost of the plan. This means that they cover 80% of the $500 monthly cost, which is 0.80 * $500 = $400.
Yoshi is responsible for paying the remaining 20% of the total cost, which is $500 - $400 = $100.
Now, with the total cost of the plan increasing to $750 per month, we can calculate the new amount that Yoshi's employer will cover. Again, this is 80% of the total cost, so 0.80 * $750 = $600.
To find out how much more Yoshi will have to pay each month, we subtract the amount his employer covers from the total cost. So, $750 - $600 = $150.