How can elimination and substitution adapt to solve a system with nonlinear equations
1 answer:
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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 =
Then, number of lemon cakes =
Now, given that, each chocolate cake had 6 slices:
By using unitary method:
1 chocolate cake had = 6 slices
chocolates cake had =
Similarly, each lemon cake had 5 slices:
1 lemon cake had = 5 slices
lemon cake had =
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
By subtracting both sides by 60,
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 number of slices of each chocolate cake
Total number of slices of chocolate cakes =
Total number of slices of lemon cakes = number of lemon cakes number of slices of each lemon cake
Total number of slices of lemon cakes =
Therefore, total number of slices of chocolate cakes and lemon cakes are 60 and 10.