Answer:
Option A.
Step-by-step explanation:
step 1
we know that
The equation of the solid line is

The solution is the shaded area above the solid line
so
The equation of the first inequality is

step 2
The equation of the dashed line is

The solution is the shaded area above the dashed line
so
The equation of the second inequality is

therefore
The system of inequalities could be


The answer to the question is a=3
a = amount (in oz) of solution A
b = amount of solution B
The scientist wants a mixture of 110 oz, so
a + b = 110
Solution A consists of 65% salt, so each ounce of solution A contributes 0.65 oz of salt; similarly, each ounce of B contributes 0.9 oz. The mixture is supposed to consist of 75% salt, which amounts to 0.75 * (110 oz) = 82.5 oz of salt. So
0.65 a + 0.9 b = 82.5
Solve for a and b:
b = 110 - a
0.65 a + 0.9 (110 - a) = 82.5
0.65 a + 99 - 0.9 a = 82.5
0.25 a = 16.5
a = 66 ==> b = 44
Answer:
1 solution
a=-5
Step-by-step explanation: