Two business partners, Ellen and Bob, invested money in their business at a ratio of 6 to 7. Bob invested the greater amount. The total amount invested was $260. How much did each partner invest?

Answer 1

120 and 140

We could get the answer a couple of ways. I divided 260 by 13 to get 20. Then I multiplied the parts of the ratio by 20.

Answer 2

or, using algebra

let the two amounts invested by 6x and 7x
(notice 6x : 7x = 6 : 7 )

then 6x + 7x = 260
13x = 260
x = 20

then 6x = 6(20) = 120
and 7x = 7(20) = 140

the same answers obtained by Ms Sue

Answer 3

Ellen and​ Bob invested money in their business at a ratio of 7 to 9. Bob invested a greater amount. The total amount invested was ​$320. How much did each partner​ invest?