Question

Darcy,jason,and Maria share $268.Jason has $20 more than Darcy and Maria has twice as much as Jason.How much money do Darcy and Jason have altogether

Answer 1

$124.

Jason- 20$ more than Darcy

Maria- Twice as much as Jason

Darcy- 20$ less than half of Maria's sum.

Explanation:

After I had written the page below, I came back up here and realized there was a much easier way.

268/2 = 134

Since the 20 Is added after, half is subtracted and you end up with

124!!

Now for my explanation done first, typed and read as I figured it out.

First and mostly, we need to find what Darcy starts with.

Let's say that Darcy has 5 dollars, to start somewhere easy. That would mean that Jason has 25 dollars since he has 20 more than her. That would mean that Maria would have 50 dollars, and the looted sum is 80.

Since that is less than a quarter of our end goal of 256$, I raised Darcy's initial amount of money to 15 to triple her money.

Math revised here-

15+20= (35*2) 70= 120

15+35+70

Since that is too low, I'm adding it to 30$.

Math revised again here-

30+20=(50*2)=100= 180

30+50+100

5 15 30

80 120 180

That is a chart determining our answers so far. There is no clear pattern, so let us continue.

Darcy starts with 50 dollars for this one.

50+20=(70*2)=140

50+70+140

260.

We are close to the sum.

Darcy starts with $52

52+20(72*2)= 144

52+72+144

268!

This means we have found how much Darcy has, and since Jason's amount depends on her, we have found both of their sums!

Answer 2

Together, Jason and Darcy have $124.

Explanation:

If Darcy, Jason, and Maria have a combined total of $268 and Maria has twice as much as Jason who has $20 more than Darcy, then we need to set up an expression for each individual and solve for x using the total money.

Darcy's money will be represented by x

Jason has $20 more than Darcy, so x + 20

Maria has twice the amount as Jason, 2(x+20)

We can then write our equation as

268 = x + (x + 20) + 2(x + 20) Expand

268 = x + x + 20 + 2x + 40 Combine like terms

268 = 4x + 60 Take 60 away from both sides

208 = 4x Divide both sides by 4 to isolate x

52 = x

Because x represents the amount of money that Darcy has, we know that he has $52. Jason has $20 more than that so

52 + 20 = 72

Jason has $72.

Their combined total then is

72 + 52 = 124

Together, Jason and Darcy have $124.