Respuesta :
Answer:
Slices of chocolate cakes = 60, Slices of lemon cakes = 10
Step-by-step explanation:
Given:
Total number of cakes, Lisa sliced = 12
Number of slices of each chocolate cake had = 6
Number of slices of each lemon cake had = 5
Total number of slices = 70
Question asked:
How many of each type of cake did she slice ?
Solution:
Let number of chocolate cakes = [tex]x[/tex]
Then, number of lemon cakes = [tex]12-x[/tex]
Now, given that, each chocolate cake had 6 slices:
By using unitary method:
1 chocolate cake had = 6 slices
[tex]x[/tex] chocolates cake had = [tex]6x[/tex]
Similarly, each lemon cake had 5 slices:
1 lemon cake had = 5 slices
[tex]12-x[/tex] lemon cake had = [tex]5(12-x)[/tex]
Now, as it is given that Lisa made 70 slices in total:
Total number of slices of 12 cakes = Total number of slices of chocolate cakes + Total number of slices of lemon cakes
[tex]70=6x+5(12-x)\\ 70=6x+60-5x\\ 70=x+60[/tex]
By subtracting both sides by 60,
[tex]x=10[/tex]
Total number of chocolate cakes = 10
Total number of lemon cakes = 12- 10 = 2
Total number of slices of chocolate cakes = number of chocolate cakes [tex]\times[/tex] number of slices of each chocolate cake
Total number of slices of chocolate cakes = [tex]10\times6=60 \ slices[/tex]
Total number of slices of lemon cakes = number of lemon cakes [tex]\times[/tex] number of slices of each lemon cake
Total number of slices of lemon cakes = [tex]2\times5=10\ slices[/tex]
Therefore, total number of slices of chocolate cakes and lemon cakes are 60 and 10.
