Charlie and Noel picked 92 quarts of berries at the Kings orchard. If Charlie picked 6 more quarts than Noel picked. How many quarts did Noel pick?

Answer 1

This problem is completed by creating a system of equations. Then, we will combine the equations in order to find the number of quarts of berries that Noel picked.

First, let's create our two equations. Our first equation could be B = C + N, because we know that "B," the total number of quarts of berries, is equal to "C," the number of quarts of berries Charlie picked alone, plus "N," the number of quarts of berries Noel picked alone. The second equation is N = C + 6 because we are told that Charlie picks out 6 more quarts than Noel does, and in this equation, "N" and "C" are the same variables as those in the first equation.

Since we do not have enough information to solve these equations separately, we must combine them. You can rearrange, B = C + N, to be C = B - N, by subtracting "N" on both sides of the equation. Now, you can replace the "C" in N = C + 6, with "B - N" to get your combined equation, N = (B - N) + 6. We know that B = 92 because we are told that a total of 92 quarts of berries are picked. Thus, we can plug in 92 for B and get N = 96 - N + 6, which simplifies into N = 98 - N. Since we have "N" on both sides, we can now solve for "N" as the equation asks us to by adding N to both sides. Then we get 2N = 98. Divide 2 on both sides to get N = 49.

Therefore, Noel picks 49 quarts of berries at the King's orchard.