Answer:
Option B. 2.5 gallons of white paint must be used
Step-by-step explanation:
In order to get a certain shade of blue paint, a mixer must have 5 parts white paint to 3 parts blue.
Total paint was mixed = 4 gallons.
5 parts white + 3 parts blue = 8 parts
divide it into 8 parts to get each part must be = 4 ÷ 8 = 0.5 gallons
It is given that 5 parts of white paint = 5 × 0.5 = 2.5 gallons
and 3 parts of blue paint was mixed = 3 × 0.5 = 1.5 gallons
Option B. 2.5 gallons of white paint must be used.
Hello :
<span>2x+3y+z=17 ...(1)
x-3y+2z=-8 ...(2)
5x-2y+3z=5 ...(3)
by(2) : x =3y -2x - 8
subsct : x in (1) and (2) :
2 (</span>3y -2z - 8) +3y +z = 17
5(3y -2z - 8)- 2y+3z = 5
I'have a system :
9y - 3z = 33 ..(*)
13y - 7z = 45 (**)
divided (-) by : 3
3y - z = 11
z= 3y -11
subsct in (**) : 13y - 7(3y -11) =45
- 8y= -32
y =4
but : z= 3y -11
so : z = 3(4)-11 = 1
but : x =3y -2x - 8
so : x = 3(4)-2(1)-8 =2
coclusion : one solution : (2 , 4 , 1 )
Attached the solution and work.
I believe it would be "five times the sum of p and 2"
The correct answer is 58/7 (decimal: 8,28....)