Question

write a system of equations to model the situation. solve by any method. show steps.
the ratio of incomes of two persons is 9:7. the difference in their weekly incomes is $200. what are their weekly incomes.

Answer 1

Let say: the big and the small ones.
The ratio: \(\dfrac{big}{small}=\dfrac{9}{7}\) , that allows us do: 7 big = 9 small
Now, big - small =200, hence big = small + 200
replace that big to the equation above, you can find out small, then plug back to find big.