Jacob has 8 times as many cookies as Elisabeth. If Jacob gives Elisabeth 20 cookies, she will have twice as many cookies as Jacob. How many cookies does each of them have?
Accepted Solution
A:
Answer: Jacob starts with 32 cookies; Elisabeth starts with 4.Step-by-step explanation:Let x represent the number of cookies Elisabeth starts with. Then Jacob starts with 8x. After the transfer of cookies, we have the relationship ... 2(8x -20) = (x +20) . . . . Elisabeth will have twice the number of cookies Jacob has 16x -40 = x + 20 . . . . . . simplify 15x = 60 . . . . . . . . . . . . add 40-x x = 4 . . . . . . . . . . . . . . . divide by 15Elisabeth starts with 4 cookies; Jacob starts with 32 cookies._____After Jacob gives Elisabeth 20 cookies, he has 12 and she has 24, twice his number.