Question

Bill and Mary Ann went to the Viola bakery. Bill bought 4 regular donuts and 8 filled donuts for $14. 88. Mary Ann bought 7 of each for $15. 54. What is the price of each type of pastry?

Answer 1

$1.50 per filled donut and $0.72 per regular donut

Explanation:

We need to set up a system of equations to find the price of each type of donut:

Since Bill bought 4 regular donuts and 8 filled donuts for $14.88, we can use the equation 4R + 8F = 14.88

Since Mary Ann bought 7 regular donuts and 7 filled donuts for $15.54, we can use the equation 7R + 7F = 15.54

From first glance, it is clear that elimination will be the best method to solve:

`4R+8F=14.88\\7R+7F=15.54\\\\7(4R+8F=14.88)\\-4(7R+7F=15.54)\\\\28R+56F=104.16\\-28R-28F=-62.16\\28F=42\\F=1.5\\\\4R+8(1.5)=14.88\\4R+12=14.88\\4R=2.88\\R=0.72`