SOLUTION: A group of three friends ate dinner at a restaurant when they settled they check peter paid 4/5 as much as jhon paid and john paid 1/3 as much as raplph paid what fractions of the

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: A group of three friends ate dinner at a restaurant when they settled they check peter paid 4/5 as much as jhon paid and john paid 1/3 as much as raplph paid what fractions of the       Log On


   



Question 903738: A group of three friends ate dinner at a restaurant when they settled they check peter paid 4/5 as much as jhon paid and john paid 1/3 as much as raplph paid what fractions of the cheeck did john pay?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
p, j, r, the fractions that each paid.
p%2Bj%2Br=1, the whole check.

p=%284%2F5%29j and j=%281%2F3%29r, from the description

Both the last two equations have j in them.
..., and r=3j;

highlight_green%28%284%2F5%29j%2Bj%2B3j=1%29
%284%2F5%2B1%2B3%29j=1
%284%2F5%2B5%29j=1
%284%2F5%2B20%2F5%29j=1
%2824%2F5%29j=1
highlight%28j=5%2F24%29

The question asks to find r.
r=3j
r=3%285%2F24%29
highlight%28r=5%2F8%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
A group of three friends ate dinner at a restaurant when they settled they check peter paid 4/5 as much as jhon paid and john paid 1/3 as much as raplph paid what fractions of the cheeck did john pay?

Let fraction John paid, be J
Then Peter paid: %284%2F5%29+%2A+J, or 4J%2F5
Ralph paid 3J
Amount of check = J+%2B+4J%2F5+%2B+3J, or %285J+%2B+4J+%2B+15J%29%2F5, or 24J%2F5
Fraction of check that John paid: J%2F%2824T%2F5%29, or J%285%2F24J%29, or 5J%2F24J, or highlight_green%285%2F24%29