At school baje sale a total of 40 cupcake and muffins were sold. The total number of cupcake sold was four more than twice the number of muffins. How many cupcake and muffins were sold at the bake sale

Respuesta :

Answer:

28 cupcakes and 12 muffins were sold.

Step-by-step explanation:

First identify what variable to use for cupcakes and muffins.

X→ Cupcakes

Y→ Muffins

Then you need to write two equations.

X+Y= 40

X= 4+2Y

Since you have the value of X you need to substitute.

(4+2Y)+Y= 40

Combine like terms.

4+3Y= 40

Now use Subtraction Property of Equality.

4+3Y= 40

-4           -4

Now you have 3Y= 36

You have to use Division Property of Equality now.

[tex]\frac{3Y}{3}[/tex]= [tex]\frac{36}{3}[/tex]

If done correctly you should get Y= 12

Afterwards you must get 12 and subtract it from 40.

40-12= 28

28 is the amount of cupcakes sold.

To check you can see that 28 is equal to 12×2+4.

Hope this helped!

If at school baje sale a total of 40 cupcake and muffins were sold. The total number of cupcake sold was four more than twice the number of muffins. How many cupcake and muffins were sold at the bake sale will be 28 cupcake and 12 muffins

Let x represent number of muffins

Let y represent number of cupcakes=2x+4

x+y=40 Substitute for y

x+2x+4=40

3x=36

x=38/3

x=12

They sold 12 muffins

y=2x+4

y=2(12)+4

y=24+4

y=28

They sold 28 cupcakes

CHECK:

x+y=40

12+28=40

40=40

Inconclusion if at school baje sale a total of 40 cupcake and muffins were sold. The total number of cupcake sold was four more than twice the number of muffins. How many cupcake and muffins were sold at the bake sale will be 28 cupcake and 12 muffins.

Learn more here:

https://brainly.com/question/23582928