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Question
ronald has 6 plates of cookies and each plate has the same amount of cookies, c, on it. he takes one cookie off of each plate to give to his friends and now there are 48 cookies on the plates. how many cookies were on each plate to start? write an equation to represent the scenario. 48 c - 1 c - 1 c - 1 c - 1 c - 1 c - 1 1 plate
Step1: Define total post-removal cookies
There are 6 plates, each with $c-1$ cookies, totaling 48.
$$6(c - 1) = 48$$
Step2: Solve for $c$: divide both sides by 6
$$c - 1 = \frac{48}{6}$$
$$c - 1 = 8$$
Step3: Isolate $c$: add 1 to both sides
$$c = 8 + 1$$
$$c = 9$$
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Equation: $6(c - 1) = 48$
Number of initial cookies per plate: $9$