Respuesta :
Answer:
Together, Jason and Darcy have $124.
Step-by-step 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.
Answer:
$124.
Jason- 20$ more than Darcy
Maria- Twice as much as Jason
Darcy- 20$ less than half of Maria's sum.
Step-by-step 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!
