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PLZZ HELP.... I NEED MY GRADE TO GO UP BC ITS ALMOST MY BIRTDAY AND I CANNOT FAIL!! PLLLLLLLSSSSSSS WILL MARK Brainliest
Last Sunday Lily and Maddie went to Sarah’s Sweet Shop and purchased one cupcake and one brownie. Their bill was $4.50.
The next day they brought their friend Jessica and purchased 3 cupcakes and one brownie. This time their bill was $9.50.
Let x represent the price of each cupcake.
Let y represent the price of each brownie.

2.The first equation in the system is: x+y=4.50x+y=4.50
3.The second equation in the system is : 3x + y = 9.50
4.Solve the system from question 3 to find the price per cupcake.
5.Find the price per brownie.
6.Find the total cost to purchase 4 cupcakes and 4 brownies from the shop.

Respuesta :

Answer:

Each cupcake cost $2.50 and each brownie cost $2.00

Step-by-step explanation:

Let x represent the price of each cupcake and let y represent the price of each brownie.

Lily and Maddie bought one cupcake and one brownie for $4.50. Hence the equation is:

x + y = 4.50                (1)

Also Jessica purchased 3 cupcakes and one brownie for $9.50. Hence the equation is given by:

3x + y = 9.50              (2)

To find the price of each cupcake and brownie, we solve equation 1 and 2 simultaneously. To find x, subtract equation 1 from equation 2:

2x = 5

x = $2.50

Put x = $2.50 in equation (1):

2.50 + y = 4.50

y = $2.00

Therefore each cupcake cost $2.50 and each brownie cost $2.00