Question

Will has three times as much money as Luke has. Luke has $18 more than twice as much as jack has. If the boys have $315 in total, how much does each have?

Answer 1

Will has $216, Luke has $72, and Jack has $27

Explanation:

Let's form some equations.

Let W represent the amount of money that Will has

Let L represent the amount that Luke has

and Let J represent the amount that Jack has

L+W+J= $315

W=3L

L=2J+18

If we input the value of L into Will's equation, it will look like this:(replace the value of L with the equation representing L)

W=3(2J+18)

Now lets input these equations into the first equation, which will then look like this:

(2J+18)+3(2J+18)+J=315

Now that we only have one variable in the equation, we can simplify it to get

9J+72=315

and when we solve for J, we get:

J=27

we then input the value of J into the equation used to find the amount that Luke has:

L=2J+18

L=2(27)+18 to get

L= 72

and now we solve Will's equation:

W=3L

W=3(72)

W=216

So Will has $216, Luke has $72, and Jack has $27

if we add these up, we get a total of $315