Edward sliced 8 cakes. each chocolate cake had 8 slices and each lemon cake had 4 slices. if edward made 48 slices in total, how many of each type of cake did he slice?

chocolate cakes

lemon cakes

There are 4 chocolate cakes and 4 lemon cakes.

Step-by-step explanation:

Let L = number of lemon cakes

C =number of chocolate cakes

L+C = 8

8C + 4L = 48

Take the first equation and solve for L

L+C-C = 8-C

L = 8-C

Substitute this into the second equation

8C  + 4(8-C) = 48

Distribute

8C +32 -4C = 48

Combine like terms

4C+32=48

Subtract 32 from each side

4C +32-32 = 48-32

4C = 16

Divide each side by 4

4C/4=16/4

C = 4

There are 4 chocolate cakes

Now we need to find L

L= 8-C

  = 8-4

   = 4

There are 4 lemon cakes

366

step-by-step explanation:

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.