Question

Jason has three more than four times the amount of money Jeff has together they have $72 how much money does each person have

Answer 1

hello

determine the amount each of them have, let's write an equation to represent thier total amount

let x represent the amount Jason have

let y represent the amount Jeff has

now, we know that Jason has 3 more than 4 times the amount Jeff has

x = 4y + 3 .... equation 1

x + y = 72 .... equation 2

from equation 2,

make x the subject of formula

`\begin{gathered} x+y=72 \\ x=72-y \end{gathered}`

x = 72 - y .....equation 3

put equation 3 into equation 1

x = 4y + 3

72 - y = 4y + 3

solve for y

`\begin{gathered} 72-y=4y+3 \\ \text{collect like terms} \\ 4y+y=72-3 \\ 5y=69 \\ y=(69)/(5) \\ y=13.8 \end{gathered}`

we know y = 13.8

we can simply substitute the value into equation 2 and solve for x

`\begin{gathered} x+y=72 \\ y=13.8 \\ x+13.8=72 \\ x=72-13.8 \\ x=58.2 \end{gathered}`

therefore, Jason has $58.2 and Jeff has $13.8