Give the step-by-step reasoning process and then the final answer. Beth went shopping. She bought 15 more cans of peas than twice the number of cans of corn that she bought. If she bought 35 cans of peas, how many cans of corn did she buy?
Let the number of cans of corn she bought be a. Twice the number of corn cans is 2 * a = 2a. The 35 cans of peas were 15 more than twice the number of corn cans which means 15 + 2a = 35. Solving the equation: 2a = 20. a = 20 / 2 = 10 cans of corn.
The final answer: 10.