Question

if shirley gives $3 to priya,priya wille have twice as much as shirley if priya gave $5 to shirley will have twice the money as much as piya.hoe does both of them have

Answer 1

Answer:

mark as brainliest

Step-by-step explanation:

Let x be the amount that Shirley has, and

let y be the amount that Priya has.

Then from the condition, you have these two equations

2*(x-3) = y + 3 (1) ("If Shirley gives $3 to Priya, Priya will have twice as much as Shirley")

2*(y-5) = x + 5 (2) ("If Priya gives $5 to Shirley, Shirley will have twice as much as Priya)

From equation (1), express y = 2*(x-3) - 3 = 2x - 9 and substitute it into equation (1). You will get

2*((2x-9) - 5) = x + 5.

Simplify and solve for x

4x - 18 - 10 = x + 5,

4x - x = 5 + 18 + 10

3x = 33

x = 33/3 = 11.

So, Shirley has 11 dollars.

Then from equation (1), y = 2*(x-3) - 3 = 2x - 9 = 2*11 - 9 = 22 - 9 = 13 dollars.

ANSWER. Shirley has $11; Priya has $13.

You can check MENTALLY or by substituting the found values into the original equations, that the answer is correct.

Please do it on your own.