Question

Three friends are starting a food truck and are contributing a total of $140,000 to begin operations. Their investments are in the ratio of 3:4:7. What is the difference in investment between the smallest investor an largest investor?

Answer 1

The difference in investment between the smallest investor an largest investor is $40,000

Explanation:

Let

x ---> the contribution of the smallest investor

y ---> the contribution of the middle investor

z ---> the contribution of the largest investor

we know that

x+y+z=140,000 -----> equation A

x/y=3/4 -----> y=(4/3)x ----> equation B

x/z=3/7 ----> z=(7/3)x ----> equation C

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

x+(4/3)x+(7/3)x=140,000

(14/3)x=140,000

x=140,000*3/14

x=$30,000

Find the value of y

y=(4/3)x ----> y=(4/3)(30,000)=$40,000

Find the value of z

z=(7/3)x ----> z=(7/3)(30,000)=$70,000

Find the difference in investment between the smallest investor an largest investor

z-x=$70,000-$30,000=$40,000