Ajeweler makes clay beads. to make the beads,
different amounts of yellow clay and turquoise
clay are mixed to make two new colors: lime
and aqua. lime has a greater ratio of yellow
to turquoise than aqua does.
fill in whether each mixture makes lime or aqua clay
mixture
grams of grams of
yellow turquoise
color
yell
16 12
24 14
12
16
30 21
20
40 413 30

9514 1404 393

  136

Step-by-step explanation:

The attached chart shows the result of using the numbers in the problem statement to calculate the percentage of the population in each category.

95% accuracy on infected individuals is assumed to mean that 95% of the 2% who are infected return a positive test result. The other 5% return a negative test result.

Similarly, 90% accuracy on uninfected individuals is assumed to mean that 90% of the 98% who are not infected will return a negative test result, and the remaining 10% of those 98% will return a (false) positive test result.

Then of the 11.7% who return a positive test result, only 1.9% are actually infected. This fraction is a/b = 19/117, so ...

  a + b = 19 + 117 = 136

_____

Additional comment

When forming ratios of percentages, one must be very clear about the base of the percentage. Above, the base for every percentage is the entire population of mathletes. The fraction 19/117 is the fraction of those who tested positive that are actually infected (about 16.2% of positives).