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

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5