Question

James and Michael are the partners in a local business. They needed $480,000 to start the

business. They invested in the ratio 1:2, respectively. How much did James invest?
$140,000
$150,000
$160,000
$170,000

Answer 1

James invested $160,000

Explanation:

- In total, they needed $480,000 to start the business

- 1:2 ratio means one of them payed double the amount than the other

so the expression would be,

2x + x = 480,000

Let x represent how much they each need to invest

the expression can be simplified to,

3x = 480,000

now you need to get x alone, this would be done be dividing both sides by 3

`(3x)/(3) = (480,000)/(3)\\x = 160,000`

James invest $160,000

Michael invest $160,000 x 2 = $320,000

and if you add them together, you get the total amount

$320,000 + $160,000 = $480,000

Let me know if you have any questions !