Q:

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?

Accepted Solution

A:
Answer:The difference in investment between the smallest investor an largest investor is $40,000Step-by-step explanation:Letx ---> the contribution of the smallest investory ---> the contribution of the middle investorz ---> the contribution of the largest investorwe know thatx+y+z=140,000 -----> equation Ax/y=3/4 -----> y=(4/3)x ----> equation Bx/z=3/7 ----> z=(7/3)x ----> equation Csubstitute equation B and equation C in equation A and solve for xx+(4/3)x+(7/3)x=140,000 (14/3)x=140,000 x=140,000*3/14x=$30,000Find the value of yy=(4/3)x ----> y=(4/3)(30,000)=$40,000Find the value of z z=(7/3)x ----> z=(7/3)(30,000)=$70,000Find the difference in investment between the smallest investor an largest investorz-x=$70,000-$30,000=$40,000