SOLUTION: a manufacturer packages soap powder in containers of three different sizes the amount of soap powder in a full large container could fill exactly three of the medium containers or

Question 1124967: a manufacturer packages soap powder in containers of three different sizes the amount of soap powder in a full large container could fill exactly three of the medium containers or exactly 5 of the smaller containers if an equal number of small and large containers are to be filled with the amount of soap powder that would fill 90 medium containers how many small containers would be filled ?
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

Let x be the capacity of a large container; then the capacity of a medium container is (1/3)x and the capacity of a small container is (1/5)x. So the ratio of the capacities of the three sizes of containers is

1 : 1/3 : 1/5

The problem could of course be worked that way; but I would prefer to express the ratio as whole numbers. Multiplied by the least common denominator 15, the ratio is

15 : 5 : 3

So now let the capacities of the three sizes of containers be
large: 15x
medium: 5x
small: 3x

The capacity of 90 medium containers will then be 90*5x = 450x.

The capacity of one large and one small container is 15x+3x = 18x.

The number of large and small containers required to have a capacity equal to 90 medium containers is

(450x)/(18x) = 25.

Answer: 25 small containers would have to be filled.
RELATED QUESTIONS
In two different types of washing powder the ratio of measurement of soda and soap powder (answered by josgarithmetic)

A metal soap dish barely floats in water. A bar of Ivory soap floats in water. When the... (answered by Alan3354)

A metal soap dish barely floats in water. A bar of Ivory soap floats in water. When the... (answered by jim_thompson5910)

A coffee powder manufacturer works out the variable cost of each kilogram of coffee... (answered by Theo,josmiceli)

Brighton soap powder is packed in cubed-shaped cartons. A carton measures 10cm on each... (answered by ewatrrr)

An empty 1 gallon plastic container weighs 4.95 dry ounces. There are 34.7 dry ounces of (answered by josgarithmetic)

a cartoon contains 2 dozens boxes each contains 4 bars of soap,how many bars of soap are... (answered by josmiceli)

how much soap is needed to make 10 liters of a 20% soap... (answered by oberobic)

There are 100 bars of blue and green soap in a box. The blue bars weigh 50g each and the... (answered by Boreal)