SOLUTION: If 42.8 kg is divided in the ratio 7:2, what is the smaller share?

Question 969273: If 42.8 kg is divided in the ratio 7:2, what is the smaller share?
Answer by Theo(13342) (Show Source): 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.

RELATED QUESTIONS
A sum of money is shared in the ratio 3:7. If the smaller share is $450, what is the... (answered by rfer)

�792 is divided in a ratio of 7:2 find the larger... (answered by ikleyn)

When $143.00 is divided in the ratio 2:4:5, what is the difference between the largest... (answered by scott8148)

A 360-gram Lilly bag is divided in the ratio 7:5. What is the mass of the smaller... (answered by josgarithmetic)

When Rs 165 is divided in the ratio 2 : 4 : 5 , what is the difference between the... (answered by rothauserc)

if $360 is divided into two part in the ratio 3:5 what is the smaller... (answered by rfer)

if three students share $180 in the ratio 1:2:3 how much is the largest... (answered by solver91311)

if four individuals share $270 in the ratio of 1:1:2:5 how much is the larger share? (answered by stanbon)

A camera cost $175, Tom and his brother share the cost in the ratio 2:3. What is Tom's... (answered by Fombitz)