Two business partners, Ellen and Bob, invested money in their business at a ratio of 3 to 7. Bob invested the greater amount. The total amount invested was $200. How much did each partner invest.
what about bob
3/10 = x/200
10x = 600
x = 60
Ellen invested $60.
Thanks
You're welcome.
Bob invested 140.
To find out how much each partner invested, we can set up a proportion based on the given ratio.
Let's assume that Ellen invested 3x dollars, and Bob invested 7x dollars, where x is a constant.
According to the problem, the total amount invested is $200. So, we can write the equation:
3x + 7x = 200
Combining like terms, we have:
10x = 200
To isolate x, we can divide both sides of the equation by 10:
x = 200 / 10
x = 20
Now that we've found the value of x, we can substitute it back into the equations for the individual investments:
Ellen's investment = 3x = 3 * 20 = $60
Bob's investment = 7x = 7 * 20 = $140
Therefore, Ellen invested $60, and Bob invested $140.