Question

Jacob has six times as many baseball cards as his sister Rebecca. Together they have a total of 861 cards. Write an equation and solve to find how many cards they each have.

Answer 1

so 6x+x=861
7x=861
x=123
6(123)=738(Jacob)

Answer 2

Let Rebecca equal x and Jacob equal 6x.
6x + x = 861
7x = 861
Multiply both sides by the reciprocal of 7 which is 1/7.
(1/7)7x = 861(1/7)
x = 123
Since Rebecca equals x we know that she has 123 cards. If we multiply this answer by 6 we get the number of cards Jacob has.
6(123) = 738
Therefore the final answer is:
Jacob = 738
Rebecca = 123
I hope this helps:)
Please comment if there are any problems.