Question

Darcy, Jason, and Maria share 268 dollars. Jason has 20 dollars more than Darcy and Maria has twice as much as Jason. How much money do Darcy Jason have together?

Answer 1

Answer:

The amount of money that Darcy and Jason have together is $124

Step-by-step explanation:

Let

x -----> amount of money that Darcy has

y -----> amount of money that Jason has

z ----> amount of money that Maria has

we know that

$x+y+z=268$ ------> equation A

$y=x+20$ -----> $x=y-20$ -----> equation B

$z=2y$ -----> equation C

substitute equation B and equation C in equation A and solve for y

$(y-20)+y+2y=268$

$4y-20=268$

$4y=268+20$

$4y=288$

$y=72$

Find the value of x

$x=y-20$ -----> $x=72-20=52$

so

The amount of money that Darcy has is $52

The amount of money that Jason has is $72

therefore

$52+$72=$124

The amount of money that Darcy and Jason have together is $124