a)
there are total 3 diffrent shades
because
(i) A = C = 1/2 so one shade
(ii) B=D =F = 2/3 so one shade
(iii) E = 5/8 one shade
so total 3 different shade
b )
(i) y = 1/2 b
(ii) y = (2/3) b
(iii) y = 5/8 b
Total age of pupils
= 12.7 x 10
= 127 years
127 - 11 - 10 - 12 - 11 - 14 - 13 - 14 - 16 = 26 ( total age of the other 2 pupils added together )
however, since the ninth pupil is two years younger,
26-2=24
24/2=12 ( age of ninth pupil )
12+2=14 ( age of tenth pupil )
thus, (a) 12 years old,
(b) 14 years old.
Answer:
The correct answer is: 
Step-by-step explanation:
As stated in the question that x represents the number of minutes his <em>normal</em> commute takes. Here the keyword is normal; in the <em>normal</em> commute, Ken takes side streets instead of the toll road.
However, in this scenario, we have to come up with the equation that takes Ken's commute via <em>toll road</em>.
Ken can travel 3 times faster by taking the toll road (Given), which can be represented in the mathematical terms in terms of x as follows:

<em>Without considering Ken getting late, </em>the equation would become the following:
--- (A)
<em>As Ken is leaving late</em>, we have to incorporate that time as well by <em>adding</em> it in the aforementioned equation (A).
In this case, it's 20 minutes; therefore, the equation (A) will become:

Hence, the correct answer is
.
Answer:
Step-by-step explanation:
We are given that Hazel has an assortment of red , blue and green balls.
The number of red balls=The number of red balls
The number of green balls is more than the number of blue balls .
Let number of blue balls=x, Number of red balls=y, Number of green balls =z
Let total number of balls=w
Then number of red balls,y= Number of blue balls=x
According to question
x=y
z>x
The total number of balls,w= sum of all balls



substitute x<z


Both side divided by 3 then we get

.
Hazel will have number of blue balls is given by the equation
.
Where x= Number of blue balls
w=Total number of blue balls.