Algebra 2 word problem solving

Question

A bakery sells doughnuts muffins and bagels. An order of 5 doughnuts, 3 muffins and 4 bagels costs $14.30. An order of 5 doughnuts, 1 muffin, and 1 bagel costs $7.70. Finally, an order of 5 doughnuts, 5 muffins, and 5 bagels costs $18.50. What is the cost of each item

 

need equations, and answers

Answer 1

5d + 3m + 4b = 1430

5d + 1m + 1b =   770

5d + 5m + 5b = 1850

 

 

Eq #1 - Eq #2:

   2m + 3b = 660

 

Eq #3 - Eq #2:

   4m + 4b = 1080

    m + b = 270

 

Substitution method:

 b = 270 - m

2m + 3(270 - m) = 660

2m + 810 - 3m = 660

-m = -150 --> m = 150 ---> b = 120

Per the original 2nd equation d = 100

 

Muffin costs $1.50

Bagel costs $1.20

Donut costs $1