You can put this solution on YOUR website! there are 2 shares.
we'll call them a and b.
a is the larger share and b is the smaller share.
the ratio of the larger share to the smaller share is 7:2.
that means that a/b = 7/2.
the sum of the shares must be equal to 42.8.
that means that a + b = 42.8
we can solve for a in terms of b or b in terms of a.
we'll solve for b in terms of a.
we'll use a/b = 7/2.
cross multiply to get 2a = 7b
divide both sides of the equation by 7 to solve for b to get b = 2a/7.
now we go to the other equation of a + b = 42.8 and replace b with 2a/7 to get:
a + 2a/7 = 42.8
multiply both sides of this equation by 7 to get 7a + 2a = 42.8 * 7
combine like terms and simplify to get 9a = 299.6
divide both sidees of this equation by 9 to get a = 33.288888889
b = 42.8 minus this to get b = 9.511111111
a + b = 33.2888... + 9.5111... = 42.8 which is true.
a/b = 33.2888... / 9.5111... = 7/2 which is also true.
those number look good.
the larger share is equal to 33.29 rounded to 2 decimal places.
the smaller share is equal to 9.51 rounded to 2 decimal places.
