Final answer:
Brenda has 20 chocolates in the box as we set up the equation c/2 = 10 and solve for c by multiplying both sides by 2 to get c = 20, representing the total count of chocolates.
Step-by-step explanation:
Brenda has a box of chocolates that she wants to split between her two children. If each child gets 10 pieces when the box is split in half, we can use a variable c to represent the total count of chocolates. To find out how many chocolates are in the box, we set up the equation c/2 = 10, because half of the total amount (c) is given to each child, and we know this amount is 10 pieces.
To solve for the total number of chocolates, we multiply both sides of the equation by 2:
2 x (c/2) = 2 x 10
c = 20
Therefore, Brenda has a total of 20 chocolates in the box. This problem illustrates basic algebra and the concept of division and multiplication to find an unknown variable.
According to the problem, if Brenda splits the box in half, each child will get 10 pieces. Therefore, half of the box is equal to 10:
c/2 = 10
To find the total number of pieces in the box, we can multiply both sides of the equation by 2:
(c/2) x 2 = 10 x 2
c = 20
So, the total number of pieces in the box of chocolates is 20. Since Brenda splits the box in half, each child will receive 10 pieces.