Answer:
cost of one cupcake = $2.75
cost of one brownie = $1.25
Step-by-step explanation:
Let c = number of cupcakes
Let b = number of brownies
Equation 1: 5c + 2b = 16.25
Equation 2: 7c + 6b = 26.75
Multiply equation 1 by 3:
⇒ 15c + 6b = 48.75
Now subtract equation 2 from this equation to eliminate 6b:
⇒ 8c = 22
Divide both sides by 8:
⇒ c = 2.75
Substitute c = 2.75 into one of the original equations and solve for b:
⇒ 5(2.75) + 2b = 16.25
⇒ 13.75 + 2b = 16.25
⇒ 2b = 2.5
⇒ b = 1.25
Therefore, cost of one cupcake = $2.75 and cost of one brownie = $1.25
