Question

Lisa sliced 12 cakes. Each chocolate cake had 6 slices and each lemon cake had 5 slices. If Lisa made 70 slices in total, how many of each type of cake did she slice

Answer 1

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 = $x$

Then, number of lemon cakes = $12-x$

Now, given that, each chocolate cake had 6 slices:

By using unitary method:

1 chocolate cake had = 6 slices

$x$ chocolates cake had = $6x$

Similarly, each lemon cake had 5 slices:

1 lemon cake had = 5 slices

$12-x$ lemon cake had = $5(12-x)$

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

$70=6x+5(12-x)\\ 70=6x+60-5x\\ 70=x+60$

By subtracting both sides by 60,

$x=10$

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 $\times$ number of slices of each chocolate cake

Total number of slices of chocolate cakes = $10\times6=60 \ slices$

Total number of slices of lemon cakes = number of lemon cakes $\times$ number of slices of each lemon cake

Total number of slices of lemon cakes = $2\times5=10\ slices$

Therefore, total number of slices of chocolate cakes and lemon cakes are 60 and 10.