If 20 quarts of 15% garlic is mixed with 45 quarts 80% garlic, what percent garlic is the new mixture?

60%

Step-by-step explanation:

If 20 quarts of 15% garlic is mixed with 45 quarts 80% garlic, what percent garlic is the new mixture?

Let us represent:

15% garlic = x

80% garlic = y

Total quarts of the new mixture =

20 + 45 = 65 quarts

Hence:

15% × 20 + 80% × 45 quarts = 65quarts(x%)

3 + 36 = 65 × x%

39 = 65 × x%

x % = 39/65

x% = 0.6

Converting to decimal

= 0.6 × 100

= 60%

The Percent of the new garlic mixture = 60%

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

57.09 minus 7.0435 equals

step-by-step explanation:

just subtrach them both and u get the answer of 50.0465