Question

Doris, Eloise, and Fran are sisters. Doris is the oldest, and Fran is the youngest. The sum of the ages of the three sisters is 56. Doris is 4 more than twice Fran's age. The difference between Eloise and Fran's ages is 9 years. Write a system of equations to determine the ages.

A. Step 1: define your variables

B. Step 2: write THREE equations

Answer 1

@jim_thompson5910 please help.

Answer 2

how far did you get

Answer 3

D+E+F=56
That is all I know how to do.

Answer 4

so for "A. Step 1: define your variables" you should have

D = current age of Dorris
E = current age of Eloise
F = current age of Fran

Answer 5

I did that.

Answer 6

I just don't know how to write the other 2 equations.

Answer 7

`The sum of the ages of the three sisters is 56`

you got `D+E+F=56` which is correct

Answer 8

`Doris is 4 more than twice Fran's age`

which equation can we form?

Answer 9

D= 4+2x ?

Answer 10

but remember that F = frans age

Answer 11

D=4+2F

Answer 12

yeah or D = 2F + 4

Answer 13

`The difference between Eloise and Fran's ages is 9 years`

what equation forms?

Answer 14

E-F=9

Answer 15

correct

Answer 16

Thank you! Can you please help through several other problems? I just looked in my binder and I have more problems.

Answer 17

I'll help with 3 more