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ASAP PLEASEE The relationship between the number of pies-to-cakes chosen by middle school students as their favorite dessert is shown in the table.

Pie 36 42 60
Cake D 7 B
Total C A 70

What is the value of C in the table?

6
10
42
49​​

2 Answers

4 votes

Answer: The value of C in the table is 42.

Explanation:

To find the value of C, we need to add the values in the first row of the "Total" column.

36 + 42 + 60 = 138

Then we look at the "Pie" column and add up the values for D, A, and B.

D + A + B = 36 + 42 + 60 = 138

Since the totals for the "Pie" column and the "Total" column are the same, we know that the value of C is the same as the value of A, which is 42.

Therefore, the value of C in the table is 42.

User Arivan Bastos
by
8.1k points
2 votes

Explanation:

To find the value of C, we need to add the values in the row labeled "Total."

Adding the values in the "Total" row, we get:

36 + 42 + 60 = 138

D + 7 + B = C

A + 70 = C

We can rewrite the last equation as:

C = A + 70

Substituting the values of A and C in the second equation, we get:

D + 7 + B = A + 70

Simplifying, we get:

D + B = A + 63

We have three equations and three unknowns (D, B, and C). We can use substitution to solve for C.

Substituting the value of A + 70 for C in the equation above, we get:

D + B = C - 7

Substituting the value of C - 7 for A + 63, we get:

D + B = (C - 7) - 6

Simplifying, we get:

D + B = C - 13

Substituting the values of D and B from the table, we get:

C = 42 + 7 = 49

Therefore, the value of C in the table is 49.

User Bhavye Mathur
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8.2k points