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
Accepted Solution
A:
Answer:There are 4 chocolate cakes and 4 lemon cakes.Step-by-step explanation:Let L = number of lemon cakesC =number of chocolate cakesL+C = 88C + 4L = 48Take the first equation and solve for LL+C-C = 8-CL = 8-CSubstitute this into the second equation8C + 4(8-C) = 48Distribute8C +32 -4C = 48Combine like terms4C+32=48Subtract 32 from each side4C +32-32 = 48-324C = 16Divide each side by 44C/4=16/4C = 4There are 4 chocolate cakesNow we need to find LL= 8-C = 8-4 = 4There are 4 lemon cakes