1.

Two jars contain sweets. Jar X has red and white sweets in the ratio 1:5, and jar Y has red and white sweets in the ratio 1:12. Two jars are then mixed together. Find the smallest number of sweets that could have been in each jar if the red and white sweets are now in these ratiosa. 1:7 b. 1:8 c. 1:9

Answer»

Answer:

Solving Proportion Problems

Suppose a collection of

N

objects are of two types, X and Y, so that the RATIO of the number of type X objects to the number of type Y objects is

m

:

n

.

The we can let the a variable, say

u

,

whose value is a counting number, stand for the unit of the proportion AD use the equation

m

u

+

n

u

=

N

to DESCRIBE the collection. The equation states that there are

m

u

objects of Type X and

n

u

objects of Type Y, so that the ratio of the number of X to the number of Y is

m

u

:

n

u

=

m

:

n

,

and that the total number of objects is

N

,

as required.


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